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232053634832 = 24412297154001
BaseRepresentation
bin1101100000011101111…
…0010111011100010000
3211011222012212001020212
43120013132113130100
512300221212303312
6254334242423252
722523335231265
oct3300736273420
9734865761225
10232053634832
118a4602554a8
1238b82361b28
1318b61cba2c6
14b33518726c
156082507822
hex3607797710

232053634832 has 40 divisors (see below), whose sum is σ = 460773367992. Its totient is φ = 113146880000.

The previous prime is 232053634817. The next prime is 232053634843. The reversal of 232053634832 is 238436350232.

232053634832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19425669376 + 212627965456 = 139376^2 + 461116^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 232053634832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429832 + ... + 1583832.

Almost surely, 2232053634832 is an apocalyptic number.

It is an amenable number.

232053634832 is a deficient number, since it is larger than the sum of its proper divisors (228719733160).

232053634832 is a wasteful number, since it uses less digits than its factorization.

232053634832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156347 (or 156341 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 232053634832 in words is "two hundred thirty-two billion, fifty-three million, six hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 41 82 164 328 656 2297 4594 9188 18376 36752 94177 154001 188354 308002 376708 616004 753416 1232008 1506832 2464016 6314041 12628082 25256164 50512328 101024656 353740297 707480594 1414961188 2829922376 5659844752 14503352177 29006704354 58013408708 116026817416 232053634832