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90376084608 = 2731931399583
BaseRepresentation
bin101010000101011010…
…1011001110010000000
322122021110112210012220
41110022311121302000
52440042234201413
6105303533051040
76346414021065
oct1241265316200
9278243483186
1090376084608
1135367a42017
1215622926a80
1386a3a0c254
144534c38c6c
15253e3b9223
hex150ad59c80

90376084608 has 128 divisors (see below), whose sum is σ = 260848435200. Its totient is φ = 27619107840.

The previous prime is 90376084571. The next prime is 90376084679. The reversal of 90376084608 is 80648067309.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26385 + ... + 425967.

It is an arithmetic number, because the mean of its divisors is an integer number (2037878400).

Almost surely, 290376084608 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 90376084608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130424217600).

90376084608 is an abundant number, since it is smaller than the sum of its proper divisors (170472350592).

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

90376084608 is a wasteful number, since it uses less digits than its factorization.

90376084608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399650 (or 399638 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 90376084608 in words is "ninety billion, three hundred seventy-six million, eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 128 152 186 192 228 248 304 372 384 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2432 2976 3534 3648 3968 4712 5952 7068 7296 9424 11904 14136 18848 28272 37696 56544 75392 113088 226176 399583 799166 1198749 1598332 2397498 3196664 4794996 6393328 7592077 9589992 12387073 12786656 15184154 19179984 22776231 24774146 25573312 30368308 37161219 38359968 45552462 49548292 51146624 60736616 74322438 76719936 91104924 99096584 121473232 148644876 153439872 182209848 198193168 235354387 242946464 297289752 364419696 396386336 470708774 485892928 594579504 706063161 728839392 792772672 941417548 971785856 1189159008 1412126322 1457678784 1585545344 1882835096 2378318016 2824252644 2915357568 3765670192 4756636032 5648505288 7531340384 11297010576 15062680768 22594021152 30125361536 45188042304 90376084608