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85923932868 = 223315122323627
BaseRepresentation
bin101000000000101110…
…1110010101011000100
322012210012001001012000
41100001131302223010
52401433011322433
6103250052025300
76131163243624
oct1200135625304
9265705031160
1085923932868
1133492902574
121479b902230
138144519637
144231826884
15237d5cd113
hex1401772ac4

85923932868 has 96 divisors (see below), whose sum is σ = 225256120320. Its totient is φ = 28322848800.

The previous prime is 85923932803. The next prime is 85923932869. The reversal of 85923932868 is 86823932958.

85923932868 is a `hidden beast` number, since 8 + 592 + 3 + 9 + 32 + 8 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (85923932869) 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, 3624871 + ... + 3648497.

It is an arithmetic number, because the mean of its divisors is an integer number (2346417920).

Almost surely, 285923932868 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 85923932868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112628060160).

85923932868 is an abundant number, since it is smaller than the sum of its proper divisors (139332187452).

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

85923932868 is a wasteful number, since it uses less digits than its factorization.

85923932868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24014 (or 24006 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 85923932868 in words is "eighty-five billion, nine hundred twenty-three million, nine hundred thirty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 223 302 446 453 604 669 892 906 1338 1359 1812 2007 2676 2718 4014 4077 5436 6021 8028 8154 12042 16308 23627 24084 33673 47254 67346 70881 94508 101019 134692 141762 202038 212643 283524 303057 404076 425286 606114 637929 850572 909171 1212228 1275858 1818342 2551716 3567677 3636684 5268821 7135354 10537642 10703031 14270708 15806463 21075284 21406062 31612926 32109093 42812124 47419389 63225852 64218186 94838778 96327279 128436372 142258167 189677556 192654558 284516334 385309116 569032668 795591971 1591183942 2386775913 3182367884 4773551826 7160327739 9547103652 14320655478 21480983217 28641310956 42961966434 85923932868