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31270564164 = 22372934613709
BaseRepresentation
bin11101000111110111…
…101111000101000100
32222201022002020202010
4131013313233011010
51003020231023124
622210540414220
72154625260360
oct350767570504
988638066663
1031270564164
1112297466764
126088547370
132c44694b08
1417290a62a0
15c30452529
hex747def144

31270564164 has 96 divisors (see below), whose sum is σ = 86311814400. Its totient is φ = 8621544960.

The previous prime is 31270564153. The next prime is 31270564177. The reversal of 31270564164 is 46146507213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8429142 + ... + 8432850.

It is an arithmetic number, because the mean of its divisors is an integer number (899081400).

Almost surely, 231270564164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31270564164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43155907200).

31270564164 is an abundant number, since it is smaller than the sum of its proper divisors (55041250236).

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

31270564164 is a wasteful number, since it uses less digits than its factorization.

31270564164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 31270564164 in words is "thirty-one billion, two hundred seventy million, five hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 3461 3709 6922 7418 10383 11127 13844 14836 20766 22254 24227 25963 41532 44508 48454 51926 72681 77889 96908 100369 103852 107561 145362 155778 200738 215122 290724 301107 311556 322683 401476 430244 602214 645366 702583 752927 1204428 1290732 1405166 1505854 2107749 2258781 2810332 3011708 4215498 4517562 8430996 9035124 12836849 25673698 38510547 51347396 77021094 89857943 154042188 179715886 269573829 359431772 372268621 539147658 744537242 1078295316 1116805863 1489074484 2233611726 2605880347 4467223452 5211760694 7817641041 10423521388 15635282082 31270564164