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81915024464 = 24713293162581
BaseRepresentation
bin100110001001010000…
…1000001010001010000
321211102210120101200222
41030102201001101100
52320230221240324
6101344203132212
75626634135210
oct1142241012120
9254383511628
1081915024464
1131815994329
1213a61214068
137955ac91a0
143d71234240
1521e669855e
hex1312841450

81915024464 has 160 divisors (see below), whose sum is σ = 208593315840. Its totient is φ = 30278707200.

The previous prime is 81915024449. The next prime is 81915024481. The reversal of 81915024464 is 46442051918.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277654 + ... + 1340234.

It is an arithmetic number, because the mean of its divisors is an integer number (1303708224).

Almost surely, 281915024464 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 81915024464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104296657920).

81915024464 is an abundant number, since it is smaller than the sum of its proper divisors (126678291376).

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

81915024464 is a wasteful number, since it uses less digits than its factorization.

81915024464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62669 (or 62663 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 81915024464 in words is "eighty-one billion, nine hundred fifteen million, twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 31 52 56 58 62 91 104 112 116 124 182 203 208 217 232 248 364 377 403 406 434 464 496 728 754 806 812 868 899 1456 1508 1612 1624 1736 1798 2639 2821 3016 3224 3248 3472 3596 5278 5642 6032 6293 6448 7192 10556 11284 11687 12586 14384 21112 22568 23374 25172 42224 45136 46748 50344 62581 81809 93496 100688 125162 163618 186992 250324 327236 438067 500648 654472 813553 876134 1001296 1308944 1627106 1752268 1814849 1940011 3254212 3504536 3629698 3880022 5694871 6508424 7009072 7259396 7760044 11389742 12703943 13016848 13580077 14518792 15520088 22779484 23593037 25220143 25407886 27160154 29037584 31040176 45558968 47186074 50440286 50815772 54320308 56260319 91117936 94372148 100880572 101631544 108640616 112520638 165151259 176541001 188744296 201761144 203263088 217281232 225041276 330302518 353082002 377488592 393822233 403522288 450082552 660605036 706164004 731384147 787644466 900165104 1321210072 1412328008 1462768294 1575288932 2642420144 2824656016 2925536588 3150577864 5119689029 5851073176 6301155728 10239378058 11702146352 20478756116 40957512232 81915024464