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31397665908 = 223721719165317
BaseRepresentation
bin11101001111011100…
…100101110001110100
310000001011020200120010
4131033130211301310
51003300300302113
622231320540220
72161030520400
oct351734456164
9100034220503
1031397665908
1112352189124
126103021670
132c64b0734b
14173bd10100
15c3b6ac1c3
hex74f725c74

31397665908 has 144 divisors (see below), whose sum is σ = 94985110080. Its totient is φ = 7998649344.

The previous prime is 31397665903. The next prime is 31397665919. The reversal of 31397665908 is 80956679313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31397665903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107266 + ... + 272582.

It is an arithmetic number, because the mean of its divisors is an integer number (659618820).

Almost surely, 231397665908 is an apocalyptic number.

31397665908 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31397665908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47492555040).

31397665908 is an abundant number, since it is smaller than the sum of its proper divisors (63587444172).

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

31397665908 is a wasteful number, since it uses less digits than its factorization.

31397665908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165374 (or 165365 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 31397665908 in words is "thirty-one billion, three hundred ninety-seven million, six hundred sixty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 49 51 57 68 76 84 98 102 114 119 133 147 196 204 228 238 266 294 323 357 399 476 532 588 646 714 798 833 931 969 1292 1428 1596 1666 1862 1938 2261 2499 2793 3332 3724 3876 4522 4998 5586 6783 9044 9996 11172 13566 15827 27132 31654 47481 63308 94962 165317 189924 330634 495951 661268 991902 1157219 1983804 2314438 2810389 3141023 3471657 4628876 5620778 6282046 6943314 8100533 8431167 9423069 11241556 12564092 13886628 16201066 16862334 18846138 19672723 21987161 24301599 32402132 33724668 37692276 39345446 43974322 48603198 53397391 59018169 65961483 78690892 87948644 97206396 106794782 118036338 131922966 137709061 153910127 160192173 213589564 236072676 263845932 275418122 307820254 320384346 373781737 413127183 461730381 550836244 615640508 640768692 747563474 826254366 923460762 1121345211 1495126948 1652508732 1846921524 2242690422 2616472159 4485380844 5232944318 7849416477 10465888636 15698832954 31397665908