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86731447123104 = 253741276778497
BaseRepresentation
bin10011101110000110111101…
…000110001011110010100000
3102101002110000200012100100020
4103232012331012023302200
542332002000430414404
6504243513213553440
724161066053442640
oct2356067506136240
9371073020170306
1086731447123104
11256a96668a9223
1298891761a5880
1339519817915a4
14175bb78390520
15a0613d654ed9
hex4ee1bd18bca0

86731447123104 has 144 divisors (see below), whose sum is σ = 266695333740864. Its totient is φ = 24176012820480.

The previous prime is 86731447123067. The next prime is 86731447123129. The reversal of 86731447123104 is 40132174413768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37259617 + ... + 39518880.

It is an arithmetic number, because the mean of its divisors is an integer number (1852050928756).

Almost surely, 286731447123104 is an apocalyptic number.

86731447123104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86731447123104 is an abundant number, since it is smaller than the sum of its proper divisors (179963886617760).

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

86731447123104 is a wasteful number, since it uses less digits than its factorization.

86731447123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76778599 (or 76778550 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 86731447123104 in words is "eighty-six trillion, seven hundred thirty-one billion, four hundred forty-seven million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1681 1722 1968 2296 3362 3444 3936 4592 5043 6724 6888 9184 10086 11767 13448 13776 20172 23534 26896 27552 35301 40344 47068 53792 70602 80688 94136 141204 161376 188272 282408 376544 564816 1129632 76778497 153556994 230335491 307113988 460670982 537449479 614227976 921341964 1074898958 1228455952 1612348437 1842683928 2149797916 2456911904 3147918377 3224696874 3685367856 4299595832 6295836754 6449393748 7370735712 8599191664 9443755131 12591673508 12898787496 17198383328 18887510262 22035428639 25183347016 25797574992 37775020524 44070857278 50366694032 51595149984 66106285917 75550041048 88141714556 100733388064 129064653457 132212571834 151100082096 176283429112 258129306914 264425143668 302200164192 352566858224 387193960371 516258613828 528850287336 705133716448 774387920742 903452574199 1032517227656 1057700574672 1548775841484 1806905148398 2065034455312 2115401149344 2710357722597 3097551682968 3613810296796 4130068910624 5420715445194 6195103365936 7227620593592 10841430890388 12390206731872 14455241187184 21682861780776 28910482374368 43365723561552 86731447123104