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133765533696 = 212331351157
BaseRepresentation
bin111110010010100001…
…1000001000000000000
3110210021100110011202210
41330211003001000000
54142422434034241
6141241231342120
712443556163464
oct1744503010000
9423240404683
10133765533696
115180317a353
1221b11981940
13c7ca062092
14668d6284a4
15372d722316
hex1f250c1000

133765533696 has 104 divisors (see below), whose sum is σ = 368170902784. Its totient is φ = 43150049280.

The previous prime is 133765533689. The next prime is 133765533721. The reversal of 133765533696 is 696335567331.

It is a super-2 number, since 2×1337655336962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205350 + ... + 556506.

Almost surely, 2133765533696 is an apocalyptic number.

133765533696 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 133765533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184085451392).

133765533696 is an abundant number, since it is smaller than the sum of its proper divisors (234405369088).

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

133765533696 is an equidigital number, since it uses as much as digits as its factorization.

133765533696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351215 (or 351193 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 57.

The spelling of 133765533696 in words is "one hundred thirty-three billion, seven hundred sixty-five million, five hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 5952 6144 7936 11904 12288 15872 23808 31744 47616 63488 95232 126976 190464 351157 380928 702314 1053471 1404628 2106942 2809256 4213884 5618512 8427768 10885867 11237024 16855536 21771734 22474048 32657601 33711072 43543468 44948096 65315202 67422144 87086936 89896192 130630404 134844288 174173872 179792384 261260808 269688576 348347744 359584768 522521616 539377152 696695488 719169536 1045043232 1078754304 1393390976 1438339072 2090086464 2157508608 2786781952 4180172928 4315017216 5573563904 8360345856 11147127808 16720691712 22294255616 33441383424 44588511232 66882766848 133765533696