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13036158976 = 2182232
BaseRepresentation
bin11000010010000010…
…00000000000000000
31020122111211111020211
430021001000000000
5203144224041401
65553322043504
7641022344251
oct141101000000
936574744224
1013036158976
11558a632205
122639949594
1312c9a22149
148b949cb28
155146e5951
hex309040000

13036158976 has 57 divisors (see below), whose sum is σ = 26189708511. Its totient is φ = 6488850432.

The previous prime is 13036158953. The next prime is 13036158991. The reversal of 13036158976 is 67985163031.

The square root of 13036158976 is 114176.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 58458001 + ... + 58458223.

Almost surely, 213036158976 is an apocalyptic number.

13036158976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13036158976 is the 114176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13036158976

13036158976 is an abundant number, since it is smaller than the sum of its proper divisors (13153549535).

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

13036158976 is an frugal number, since it uses more digits than its factorization.

13036158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 13036158976 by its sum of digits (49), we get a square (638771789824 = 7992322).

The spelling of 13036158976 in words is "thirteen billion, thirty-six million, one hundred fifty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 512 892 1024 1784 2048 3568 4096 7136 8192 14272 16384 28544 32768 49729 57088 65536 99458 114176 131072 198916 228352 262144 397832 456704 795664 913408 1591328 1826816 3182656 3653632 6365312 7307264 12730624 14614528 25461248 29229056 50922496 58458112 101844992 203689984 407379968 814759936 1629519872 3259039744 6518079488 13036158976