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10613326440 = 23351710151511
BaseRepresentation
bin10011110001001101…
…01000001001101000
31000101122211211211110
421320212220021220
5133214002421230
64513052230320
7524002533453
oct117046501150
930348754743
1010613326440
114556a45272
12208246b3a0
131001aa0a22
147297b849a
15421b5e4b0
hex2789a8268

10613326440 has 128 divisors (see below), whose sum is σ = 34047371520. Its totient is φ = 2637312000.

The previous prime is 10613326433. The next prime is 10613326447. The reversal of 10613326440 is 4462331601.

It is a Cunningham number, because it is equal to 1030212-1.

It is an interprime number because it is at equal distance from previous prime (10613326433) and next prime (10613326447).

It is a super-2 number, since 2×106133264402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10613326398 and 10613326407.

It is not an unprimeable number, because it can be changed into a prime (10613326447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180285 + ... + 231795.

It is an arithmetic number, because the mean of its divisors is an integer number (265995090).

Almost surely, 210613326440 is an apocalyptic number.

10613326440 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 10613326440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023685760).

10613326440 is an abundant number, since it is smaller than the sum of its proper divisors (23434045080).

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

10613326440 is a wasteful number, since it uses less digits than its factorization.

10613326440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51643 (or 51639 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 10613326440 in words is "ten billion, six hundred thirteen million, three hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 170 202 204 255 303 340 404 408 505 510 606 680 808 1010 1020 1212 1515 1717 2020 2040 2424 3030 3434 4040 5151 6060 6868 8585 10302 12120 13736 17170 20604 25755 34340 41208 51510 51511 68680 103020 103022 154533 206040 206044 257555 309066 412088 515110 618132 772665 875687 1030220 1236264 1545330 1751374 2060440 2627061 3090660 3502748 4378435 5202611 5254122 6181320 7005496 8756870 10405222 10508244 13135305 15607833 17513740 20810444 21016488 26013055 26270610 31215666 35027480 41620888 52026110 52541220 62431332 78039165 88444387 104052220 105082440 124862664 156078330 176888774 208104440 265333161 312156660 353777548 442221935 530666322 624313320 707555096 884443870 1061332644 1326665805 1768887740 2122665288 2653331610 3537775480 5306663220 10613326440