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13097815848 = 23321325754449
BaseRepresentation
bin11000011001011000…
…01100111100101000
31020210210211222120200
430030230030330220
5203311020101343
610003403352200
7642401412015
oct141454147450
936723758520
1013097815848
1156114149a7
122656522660
13130972c2c0
148c374c70c
15519d244d3
hex30cb0cf28

13097815848 has 96 divisors (see below), whose sum is σ = 38351313000. Its totient is φ = 4014342144.

The previous prime is 13097815847. The next prime is 13097815877. The reversal of 13097815848 is 84851879031.

It can be written as a sum of positive squares in 4 ways, for example, as 13087817604 + 9998244 = 114402^2 + 3162^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13097815794 and 13097815803.

It is not an unprimeable number, because it can be changed into a prime (13097815847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213328 + ... + 267776.

Almost surely, 213097815848 is an apocalyptic number.

13097815848 is a gapful number since it is divisible by the number (18) 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 13097815848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19175656500).

13097815848 is an abundant number, since it is smaller than the sum of its proper divisors (25253497152).

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

13097815848 is a wasteful number, since it uses less digits than its factorization.

13097815848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54731 (or 54724 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 13097815848 in words is "thirteen billion, ninety-seven million, eight hundred fifteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 257 312 468 514 771 936 1028 1542 2056 2313 3084 3341 4626 6168 6682 9252 10023 13364 18504 20046 26728 30069 40092 54449 60138 80184 108898 120276 163347 217796 240552 326694 435592 490041 653388 707837 980082 1306776 1415674 1960164 2123511 2831348 3920328 4247022 5662696 6370533 8494044 12741066 13993393 16988088 25482132 27986786 41980179 50964264 55973572 83960358 111947144 125940537 167920716 181914109 251881074 335841432 363828218 503762148 545742327 727656436 1007524296 1091484654 1455312872 1637226981 2182969308 3274453962 4365938616 6548907924 13097815848