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232500820896 = 25327311058829
BaseRepresentation
bin1101100010001000100…
…0001111101110100000
3211020010101022110012200
43120202020033232200
512302130202232041
6254450455253200
722540405240611
oct3304210175640
9736111273180
10232500820896
118a66a719a63
123908807a200
1318c03840246
14b378711c08
1560ab8dc1b6
hex362220fba0

232500820896 has 72 divisors (see below), whose sum is σ = 670231450980. Its totient is φ = 76438619136.

The previous prime is 232500820891. The next prime is 232500820897. The reversal of 232500820896 is 698028005232.

It is a happy number.

232500820896 is a `hidden beast` number, since 2 + 32 + 500 + 8 + 20 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232165930896 + 334890000 = 481836^2 + 18300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (232500820891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5508391 + ... + 5550438.

Almost surely, 2232500820896 is an apocalyptic number.

It is an amenable number.

232500820896 is an abundant number, since it is smaller than the sum of its proper divisors (437730630084).

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

232500820896 is a wasteful number, since it uses less digits than its factorization.

232500820896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058918 (or 11058907 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 232500820896 in words is "two hundred thirty-two billion, five hundred million, eight hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 11058829 22117658 33176487 44235316 66352974 88470632 99529461 132705948 176941264 199058922 265411896 353882528 398117844 530823792 796235688 807294517 1061647584 1592471376 1614589034 2421883551 3184942752 3229178068 4843767102 6458356136 7265650653 9687534204 12916712272 14531301306 19375068408 25833424544 29062602612 38750136816 58125205224 77500273632 116250410448 232500820896