Search a number
-
+
31864075524 = 223223313493557
BaseRepresentation
bin11101101011001111…
…110011010100000100
310001020122212202021100
4131223033303110010
51010224200404044
622345501420100
72205423113241
oct355317632404
9101218782240
1031864075524
1112571492616
12621326a630
13300a62b178
141783c405c8
15c675dc869
hex76b3f3504

31864075524 has 144 divisors (see below), whose sum is σ = 87031526400. Its totient is φ = 9800904960.

The previous prime is 31864075519. The next prime is 31864075567. The reversal of 31864075524 is 42557046813.

31864075524 is a `hidden beast` number, since 3 + 1 + 86 + 40 + 7 + 5 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31864075524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8956354 + ... + 8959910.

It is an arithmetic number, because the mean of its divisors is an integer number (604385600).

Almost surely, 231864075524 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 31864075524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43515763200).

31864075524 is an abundant number, since it is smaller than the sum of its proper divisors (55167450876).

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

31864075524 is a wasteful number, since it uses less digits than its factorization.

31864075524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 31864075524 in words is "thirty-one billion, eight hundred sixty-four million, seventy-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 349 372 414 558 698 713 828 1047 1116 1396 1426 2094 2139 2852 3141 3557 4188 4278 6282 6417 7114 8027 8556 10671 10819 12564 12834 14228 16054 21342 21638 24081 25668 32013 32108 32457 42684 43276 48162 64026 64914 72243 81811 96324 97371 110267 128052 129828 144486 163622 194742 220534 245433 248837 288972 327244 330801 389484 441068 490866 497674 661602 736299 746511 981732 992403 995348 1241393 1323204 1472598 1493022 1984806 2239533 2482786 2536141 2945196 2986044 3724179 3969612 4479066 4965572 5072282 7448358 7608423 8958132 10144564 11172537 14896716 15216846 22345074 22825269 28552039 30433692 38483183 44690148 45650538 57104078 76966366 85656117 91301076 114208156 115449549 153932732 171312234 230899098 256968351 342624468 346348647 461798196 513936702 692697294 885113209 1027873404 1385394588 1770226418 2655339627 3540452836 5310679254 7966018881 10621358508 15932037762 31864075524