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10004422503780 = 22325432192958943
BaseRepresentation
bin1001000110010101011000…
…0011001010110101100100
31022102102011101221201111200
42101211112003022311210
52302403024130110110
633135545050402500
72051536626120315
oct221452603126544
938372141851450
1010004422503780
113207940763621
121156b10a30430
1357754a46a473
1426830662460c
151253883246c0
hex919560cad64

10004422503780 has 144 divisors (see below), whose sum is σ = 31054429486080. Its totient is φ = 2605640034816.

The previous prime is 10004422503743. The next prime is 10004422503781. The reversal of 10004422503780 is 8730522440001.

It is a happy number.

10004422503780 is a `hidden beast` number, since 10 + 0 + 0 + 44 + 22 + 503 + 7 + 80 = 666.

It is a super-2 number, since 2×100044225037802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10004422503781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169700989 + ... + 169759931.

It is an arithmetic number, because the mean of its divisors is an integer number (215655760320).

Almost surely, 210004422503780 is an apocalyptic number.

10004422503780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004422503780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527214743040).

10004422503780 is an abundant number, since it is smaller than the sum of its proper divisors (21050006982300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10004422503780 is a wasteful number, since it uses less digits than its factorization.

10004422503780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80930 (or 80925 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 10004422503780 its reverse (8730522440001), we get a palindrome (18734944943781).

The spelling of 10004422503780 in words is "ten trillion, four billion, four hundred twenty-two million, five hundred three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 21929 43858 58943 65787 87716 109645 117886 131574 176829 197361 219290 235772 263148 294715 328935 353658 394722 438580 530487 589430 657870 707316 789444 884145 942947 986805 1060974 1178860 1315740 1768290 1885894 1973610 2121948 2534549 2652435 2828841 3536580 3771788 3947220 4714735 5069098 5304870 5657682 7603647 8486523 9429470 10138196 10609740 11315364 12672745 14144205 15207294 16973046 18858940 22810941 25345490 28288410 30414588 33946092 38018235 42432615 45621882 50690980 56576820 76036470 84865230 91243764 114054705 152072940 169730460 228109410 456218820 1292561047 2585122094 3877683141 5170244188 6462805235 7755366282 11633049423 12925610470 15510732564 19388415705 23266098846 25851220940 38776831410 46532197692 55580125021 58165247115 77553662820 111160250042 116330494230 166740375063 222320500084 232660988460 277900625105 333480750126 500221125189 555801250210 666961500252 833701875315 1000442250378 1111602500420 1667403750630 2000884500756 2501105625945 3334807501260 5002211251890 10004422503780