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107326637631 = 33293143102829
BaseRepresentation
bin110001111110100101…
…0101000011000111111
3101021000210000002122000
41203331022220120333
53224301104401011
6121145530153343
710516440240033
oct1437512503077
9337023002560
10107326637631
11415760a8424
1218973582853
13a1756abb95
1452a21261c3
152bd2575356
hex18fd2a863f

107326637631 has 64 divisors (see below), whose sum is σ = 173741568000. Its totient is φ = 65299893120.

The previous prime is 107326637609. The next prime is 107326637641. The reversal of 107326637631 is 136736623701.

It is a happy number.

107326637631 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 2 + 6 + 6 + 3 + 7 + 631 = 666.

It is not a de Polignac number, because 107326637631 - 223 = 107318249023 is a prime.

It is a super-2 number, since 2×1073266376312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107326637641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992325 + ... + 1095153.

It is an arithmetic number, because the mean of its divisors is an integer number (2714712000).

Almost surely, 2107326637631 is an apocalyptic number.

107326637631 is a deficient number, since it is larger than the sum of its proper divisors (66414930369).

107326637631 is a wasteful number, since it uses less digits than its factorization.

107326637631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102941 (or 102935 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 107326637631 in words is "one hundred seven billion, three hundred twenty-six million, six hundred thirty-seven thousand, six hundred thirty-one".

Divisors: 1 3 9 27 29 31 43 87 93 129 261 279 387 783 837 899 1161 1247 1333 2697 3741 3999 8091 11223 11997 24273 33669 35991 38657 102829 115971 308487 347913 925461 1043739 2776383 2982041 3187699 4421647 8946123 9563097 13264941 26838369 28689291 39794823 80515107 86067873 92443271 119384469 128227763 137071057 277329813 384683289 411213171 831989439 1154049867 1233639513 2495968317 3462149601 3700918539 3975060653 11925181959 35775545877 107326637631