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10813995696 = 2437433372221
BaseRepresentation
bin10100001001001000…
…00111101010110000
31000220122102220022010
422010210013222300
5134121340330241
64545021242520
7531660306150
oct120444075260
930818386263
1010813995696
11464a245029
122119703440
13103453082a
147482d2760
1543459bd16
hex284907ab0

10813995696 has 160 divisors (see below), whose sum is σ = 32781219328. Its totient is φ = 3007549440.

The previous prime is 10813995677. The next prime is 10813995697. The reversal of 10813995696 is 69659931801.

It is not an unprimeable number, because it can be changed into a prime (10813995697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4867866 + ... + 4870086.

Almost surely, 210813995696 is an apocalyptic number.

10813995696 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 10813995696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390609664).

10813995696 is an abundant number, since it is smaller than the sum of its proper divisors (21967223632).

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

10813995696 is a wasteful number, since it uses less digits than its factorization.

10813995696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The spelling of 10813995696 in words is "ten billion, eight hundred thirteen million, nine hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 337 344 516 602 674 688 903 1011 1032 1204 1348 1806 2022 2064 2221 2359 2408 2696 3612 4044 4442 4718 4816 5392 6663 7077 7224 8088 8884 9436 13326 14154 14448 14491 15547 16176 17768 18872 26652 28308 28982 31094 35536 37744 43473 46641 53304 56616 57964 62188 86946 93282 95503 101437 106608 113232 115928 124376 173892 186564 191006 202874 231856 248752 286509 304311 347784 373128 382012 405748 573018 608622 668521 695568 746256 748477 764024 811496 1146036 1217244 1337042 1496954 1528048 1622992 2005563 2245431 2292072 2434488 2674084 2993908 4011126 4490862 4584144 4868976 5239339 5348168 5987816 8022252 8981724 10478678 10696336 11975632 15718017 16044504 17963448 20957356 31436034 32089008 32184511 35926896 41914712 62872068 64369022 83829424 96553533 125744136 128738044 193107066 225291577 251488272 257476088 386214132 450583154 514952176 675874731 772428264 901166308 1351749462 1544856528 1802332616 2703498924 3604665232 5406997848 10813995696