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123813607232 = 2671396319793
BaseRepresentation
bin111001101001111011…
…1011011011101000000
3102211120210010221010202
41303103313123131000
54012032240412412
6132513523144332
711642134203560
oct1632367333500
9384523127122
10123813607232
114856660a737
121bbb4b150a8
13b8a23071b3
145dc7a1ada0
153349bad3c2
hex1cd3ddb740

123813607232 has 56 divisors (see below), whose sum is σ = 280825870656. Its totient is φ = 53056493568.

The previous prime is 123813607223. The next prime is 123813607237. The reversal of 123813607232 is 232706318321.

It is a happy number.

123813607232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123813607237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6245528 + ... + 6265320.

Almost surely, 2123813607232 is an apocalyptic number.

It is an amenable number.

123813607232 is an abundant number, since it is smaller than the sum of its proper divisors (157012263424).

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

123813607232 is a wasteful number, since it uses less digits than its factorization.

123813607232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33775 (or 33765 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 123813607232 in words is "one hundred twenty-three billion, eight hundred thirteen million, six hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 13963 19793 27926 39586 55852 79172 97741 111704 138551 158344 195482 223408 277102 316688 390964 446816 554204 633376 781928 893632 1108408 1266752 1563856 2216816 3127712 4433632 6255424 8867264 276369659 552739318 1105478636 1934587613 2210957272 3869175226 4421914544 7738350452 8843829088 15476700904 17687658176 30953401808 61906803616 123813607232