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31518321156 = 22347214092
BaseRepresentation
bin11101010110101000…
…110110101000000100
310000100120021121110000
4131112220312220010
51004022142234111
622251311001300
72164024211100
oct352650665004
9100316247400
1031518321156
11124042a8203
126137509230
132c83b0059a
14174dd5a900
15c47091c56
hex756a36a04

31518321156 has 135 divisors (see below), whose sum is σ = 95915454789. Its totient is φ = 8998843392.

The previous prime is 31518321137. The next prime is 31518321157. The reversal of 31518321156 is 65112381513.

It is a happy number.

The square root of 31518321156 is 177534.

It is a perfect power (a square), and thus also a powerful number.

31518321156 is a `hidden beast` number, since 315 + 1 + 8 + 321 + 15 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 401361156 + 31116960000 = 20034^2 + 176400^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 31518321156.

It is not an unprimeable number, because it can be changed into a prime (31518321157) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22368580 + ... + 22369988.

Almost surely, 231518321156 is an apocalyptic number.

31518321156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31518321156 is the 177534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31518321156

31518321156 is an abundant number, since it is smaller than the sum of its proper divisors (64397133633).

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

31518321156 is an equidigital number, since it uses as much as digits as its factorization.

31518321156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 1421 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

Multiplying 31518321156 by its sum of digits (36), we get a square (1134659561616 = 10652042).

31518321156 divided by its sum of digits (36) gives a square (875508921 = 295892).

The spelling of 31518321156 in words is "thirty-one billion, five hundred eighteen million, three hundred twenty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1409 1764 2268 2646 2818 3969 4227 5292 5636 7938 8454 9863 12681 15876 16908 19726 25362 29589 38043 39452 50724 59178 69041 76086 88767 114129 118356 138082 152172 177534 207123 228258 266301 276164 355068 414246 456516 532602 621369 798903 828492 1065204 1242738 1597806 1864107 1985281 2485476 3195612 3728214 3970562 5592321 5955843 7456428 7941124 11184642 11911686 13896967 17867529 22369284 23823372 27793934 35735058 41690901 53602587 55587868 71470116 83381802 97278769 107205174 125072703 160807761 166763604 194557538 214410348 250145406 291836307 321615522 375218109 389115076 500290812 583672614 643231044 750436218 875508921 1125654327 1167345228 1500872436 1751017842 2251308654 2626526763 3502035684 4502617308 5253053526 7879580289 10506107052 15759160578 31518321156