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86000474032 = 24113743419733
BaseRepresentation
bin101000000011000000…
…1110001011110110000
322012222112001201220221
41100012001301132300
52402112110132112
6103301424342424
76133112652664
oct1200601613660
9265875051827
1086000474032
1133522031030
1214801474a14
138157338575
14423ba6c8a4
15238519be07
hex14060717b0

86000474032 has 160 divisors (see below), whose sum is σ = 191745227520. Its totient is φ = 37010856960.

The previous prime is 86000473991. The next prime is 86000474039. The reversal of 86000474032 is 23047400068.

It is not an unprimeable number, because it can be changed into a prime (86000474039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117326338 + ... + 117327070.

It is an arithmetic number, because the mean of its divisors is an integer number (1198407672).

Almost surely, 286000474032 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 86000474032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95872613760).

86000474032 is an abundant number, since it is smaller than the sum of its proper divisors (105744753488).

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

86000474032 is a wasteful number, since it uses less digits than its factorization.

86000474032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 86000474032 in words is "eighty-six billion, four hundred seventy-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 37 43 44 74 86 88 148 172 176 296 344 407 419 473 592 688 733 814 838 946 1466 1591 1628 1676 1892 2932 3182 3256 3352 3784 4609 5864 6364 6512 6704 7568 8063 9218 11728 12728 15503 16126 17501 18017 18436 25456 27121 31006 31519 32252 35002 36034 36872 54242 62012 63038 64504 70004 72068 73744 108484 124024 126076 129008 140008 144136 170533 198187 216968 248048 252152 280016 288272 298331 307127 341066 346709 396374 433936 504304 596662 614254 666629 682132 693418 792748 1166203 1193324 1228508 1333258 1364264 1386836 1585496 2332406 2386648 2457016 2666516 2728528 2773672 3170992 3378397 4664812 4773296 4914032 5333032 5547344 6756794 7332919 9329624 10666064 11363699 12828233 13206461 13513588 14665838 18659248 22727398 25656466 26412922 27027176 29331676 45454796 51312932 52825844 54054352 58663352 90909592 102625864 105651688 117326704 125000689 145271071 181819184 205251728 211303376 250001378 290542142 488639057 500002756 581084284 977278114 1000005512 1162168568 1954556228 2000011024 2324337136 3909112456 5375029627 7818224912 10750059254 21500118508 43000237016 86000474032