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113532270624 = 2533131403091
BaseRepresentation
bin110100110111100001…
…1001111100000100000
3101212001020222220202000
41221233003033200200
53330003230124444
6124053410324000
711126302243353
oct1515703174040
9355036886660
10113532270624
1144170009333
121a005889600
13a924254b76
1456d038229a
152e4727b469
hex1a6f0cf820

113532270624 has 48 divisors (see below), whose sum is σ = 331135791840. Its totient is φ = 37844089920.

The previous prime is 113532270623. The next prime is 113532270647. The reversal of 113532270624 is 426072235311.

113532270624 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 2 + 27 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113532270623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65700682 + ... + 65702409.

It is an arithmetic number, because the mean of its divisors is an integer number (6898662330).

Almost surely, 2113532270624 is an apocalyptic number.

It is an amenable number.

113532270624 is an abundant number, since it is smaller than the sum of its proper divisors (217603521216).

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

113532270624 is a wasteful number, since it uses less digits than its factorization.

113532270624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131403110 (or 131403096 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 113532270624 in words is "one hundred thirteen billion, five hundred thirty-two million, two hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 131403091 262806182 394209273 525612364 788418546 1051224728 1182627819 1576837092 2102449456 2365255638 3153674184 3547883457 4204898912 4730511276 6307348368 7095766914 9461022552 12614696736 14191533828 18922045104 28383067656 37844090208 56766135312 113532270624