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90482612736 = 293359164089
BaseRepresentation
bin101010001000100101…
…1110001101000000000
322122112212222222100010
41110101023301220000
52440302022101421
6105322300224520
76352146342525
oct1242113615000
9278485888303
1090482612736
113541209219a
121565253b140
1386bcaca249
14454504914c
15254890d076
hex15112f1a00

90482612736 has 80 divisors (see below), whose sum is σ = 241724260800. Its totient is φ = 30076674048.

The previous prime is 90482612707. The next prime is 90482612741. The reversal of 90482612736 is 63721628409.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469380 + ... + 633468.

It is an arithmetic number, because the mean of its divisors is an integer number (3021553260).

Almost surely, 290482612736 is an apocalyptic number.

90482612736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90482612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120862130400).

90482612736 is an abundant number, since it is smaller than the sum of its proper divisors (151241648064).

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

90482612736 is a wasteful number, since it uses less digits than its factorization.

90482612736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164469 (or 164453 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 90482612736 in words is "ninety billion, four hundred eighty-two million, six hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 359 384 512 718 768 1077 1436 1536 2154 2872 4308 5744 8616 11488 17232 22976 34464 45952 68928 91904 137856 164089 183808 275712 328178 492267 551424 656356 984534 1312712 1969068 2625424 3938136 5250848 7876272 10501696 15752544 21003392 31505088 42006784 58907951 63010176 84013568 117815902 126020352 176723853 235631804 252040704 353447706 471263608 706895412 942527216 1413790824 1885054432 2827581648 3770108864 5655163296 7540217728 11310326592 15080435456 22620653184 30160870912 45241306368 90482612736