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13013973696 = 263198594153
BaseRepresentation
bin11000001111011000…
…10111101011000000
31020120222002100202210
430013230113223000
5203123034124241
65551210342120
7640332644163
oct140754275300
936528070683
1013013973696
11557905a069
12263242a940
1312c5255169
148b6565ada
155127b2316
hex307b17ac0

13013973696 has 112 divisors (see below), whose sum is σ = 36295990400. Its totient is φ = 4103903232.

The previous prime is 13013973617. The next prime is 13013973697. The reversal of 13013973696 is 69637931031.

It is a super-2 number, since 2×130139736962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13013973697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131556 + ... + 3135708.

Almost surely, 213013973696 is an apocalyptic number.

13013973696 is a gapful number since it is divisible by the number (16) 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 13013973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147995200).

13013973696 is an abundant number, since it is smaller than the sum of its proper divisors (23282016704).

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

13013973696 is a wasteful number, since it uses less digits than its factorization.

13013973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 48.

The spelling of 13013973696 in words is "thirteen billion, thirteen million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 859 912 1216 1718 1824 2577 3436 3648 4153 5154 6872 8306 10308 12459 13744 16321 16612 20616 24918 27488 32642 33224 41232 48963 49836 54976 65284 66448 78907 82464 97926 99672 130568 132896 157814 164928 195852 199344 236721 261136 265792 315628 391704 398688 473442 522272 631256 783408 797376 946884 1044544 1262512 1566816 1893768 2525024 3133632 3567427 3787536 5050048 7134854 7575072 10702281 14269708 15150144 21404562 28539416 42809124 57078832 67781113 85618248 114157664 135562226 171236496 203343339 228315328 271124452 342472992 406686678 542248904 684945984 813373356 1084497808 1626746712 2168995616 3253493424 4337991232 6506986848 13013973696