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10522354245040 = 24511191813476947
BaseRepresentation
bin1001100100011110110100…
…1011111101110110110000
31101020221000221220021101101
42121013231023331312300
52334344240141320130
634213523001214144
72134133514230011
oct231075513756660
941227027807341
1010522354245040
1133975617216a0
12121b377191354
135b433b639711
142853db187008
15133a9d32b1ca
hex991ed2fddb0

10522354245040 has 160 divisors (see below), whose sum is σ = 28248394487040. Its totient is φ = 3604897612800.

The previous prime is 10522354245031. The next prime is 10522354245079. The reversal of 10522354245040 is 4054245322501.

It is a super-2 number, since 2×105223542450402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287847 + ... + 4764793.

It is an arithmetic number, because the mean of its divisors is an integer number (176552465544).

Almost surely, 210522354245040 is an apocalyptic number.

10522354245040 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 10522354245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124197243520).

10522354245040 is an abundant number, since it is smaller than the sum of its proper divisors (17726040242000).

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

10522354245040 is a wasteful number, since it uses less digits than its factorization.

10522354245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477171 (or 3477165 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 10522354245040 its reverse (4054245322501), we get a palindrome (14576599567541).

The spelling of 10522354245040 in words is "ten trillion, five hundred twenty-two billion, three hundred fifty-four million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 181 190 209 220 304 362 380 418 440 724 760 836 880 905 1045 1448 1520 1672 1810 1991 2090 2896 3344 3439 3620 3982 4180 6878 7240 7964 8360 9955 13756 14480 15928 16720 17195 19910 27512 31856 34390 37829 39820 55024 68780 75658 79640 137560 151316 159280 189145 275120 302632 378290 605264 756580 1513160 3026320 3476947 6953894 13907788 17384735 27815576 34769470 38246417 55631152 66061993 69538940 76492834 132123986 139077880 152985668 191232085 264247972 278155760 305971336 330309965 382464170 528495944 611942672 629327407 660619930 726681923 764928340 1056991888 1258654814 1321239860 1453363846 1529856680 2517309628 2642479720 2906727692 3059713360 3146637035 3633409615 5034619256 5284959440 5813455384 6293274070 6922601477 7266819230 10069238512 11626910768 11957220733 12586548140 13845202954 14533638460 23914441466 25173096280 27690405908 29067276920 34613007385 47828882932 50346192560 55380811816 58134553840 59786103665 69226014770 95657765864 110761623632 119572207330 131529428063 138452029540 191315531728 239144414660 263058856126 276904059080 478288829320 526117712252 553808118160 657647140315 956577658640 1052235424504 1315294280630 2104470849008 2630588561260 5261177122520 10522354245040