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85182447207744 = 2632373996924137
BaseRepresentation
bin10011010111100100010101…
…100000011100010101000000
3102011121100210012120121012200
4103113210111200130111000
542131112122441121434
6501100135341553200
723641141310424165
oct2327442540342500
9364540705517180
1085182447207744
1125161744824217
129678b19275800
13386b893874b33
141706bd116406c
159cabce612199
hex4d791581c540

85182447207744 has 84 divisors (see below), whose sum is σ = 250759026569844. Its totient is φ = 27626739628032.

The previous prime is 85182447207709. The next prime is 85182447207821. The reversal of 85182447207744 is 44770274428158.

85182447207744 is a `hidden beast` number, since 8 + 5 + 1 + 82 + 447 + 2 + 0 + 77 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69011432665344 + 16171014542400 = 8307312^2 + 4021320^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1998440757 + ... + 1998483380.

Almost surely, 285182447207744 is an apocalyptic number.

It is an amenable number.

85182447207744 is an abundant number, since it is smaller than the sum of its proper divisors (165576579362100).

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

85182447207744 is a wasteful number, since it uses less digits than its factorization.

85182447207744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996924192 (or 3996924179 counting only the distinct ones).

The product of its (nonzero) digits is 112394240, while the sum is 63.

The spelling of 85182447207744 in words is "eighty-five trillion, one hundred eighty-two billion, four hundred forty-seven million, two hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 3996924137 7993848274 11990772411 15987696548 23981544822 31975393096 35972317233 47963089644 63950786192 71944634466 95926179288 127901572384 143889268932 147886193069 191852358576 255803144768 287778537864 295772386138 383704717152 443658579207 575557075728 591544772276 767409434304 887317158414 1151114151456 1183089544552 1330975737621 1774634316828 2302228302912 2366179089104 2661951475242 3549268633656 4732358178208 5323902950484 7098537267312 9464716356416 10647805900968 14197074534624 21295611801936 28394149069248 42591223603872 85182447207744