Search a number
-
+
107631479233287 = 32172397325732003
BaseRepresentation
bin11000011110001111101000…
…000101100001101100000111
3112010002110122211212022010100
4120132033220011201230013
5103101413232140431122
61020525115143455143
731446055251263022
oct3036175005415407
9463073584768110
10107631479233287
1131327288097999
12100a38507574b3
1348097b3094a19
141c81569d921b9
15c69b1d75baac
hex61e3e8161b07

107631479233287 has 72 divisors (see below), whose sum is σ = 165622807271376. Its totient is φ = 67340580747264.

The previous prime is 107631479233261. The next prime is 107631479233361. The reversal of 107631479233287 is 782332974136701.

107631479233287 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 31 + 479 + 23 + 32 + 87 = 666.

It is not a de Polignac number, because 107631479233287 - 214 = 107631479216903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107631479233207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3363152428 + ... + 3363184430.

It is an arithmetic number, because the mean of its divisors is an integer number (2300316767658).

Almost surely, 2107631479233287 is an apocalyptic number.

107631479233287 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

107631479233287 is a deficient number, since it is larger than the sum of its proper divisors (57991328038089).

107631479233287 is a wasteful number, since it uses less digits than its factorization.

107631479233287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35697 (or 35677 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 107631479233287 in words is "one hundred seven trillion, six hundred thirty-one billion, four hundred seventy-nine million, two hundred thirty-three thousand, two hundred eighty-seven".

Divisors: 1 3 9 17 51 153 289 397 867 1191 2601 3257 3573 6749 9771 20247 29313 32003 55369 60741 96009 114733 166107 288027 344199 498321 544051 941273 1032597 1293029 1632153 2823819 3879087 4896459 8471457 9248867 11637261 12705191 21981493 27746601 38115573 65944479 83239803 104233771 114346719 197833437 215988247 312701313 373685381 647964741 938103939 1121056143 1771974107 1943894223 3363168429 3671800199 5315922321 11015400597 15947766963 30123559819 33046201791 41380807087 90370679457 124142421261 271112038371 372427263783 703473720479 2110421161437 6331263484311 11959053248143 35877159744429 107631479233287