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90192880404128 = 25177919710653199
BaseRepresentation
bin10100100000011110101010…
…100110010000011010100000
3102211100100120220121000110202
4110200132222212100122200
543310210004340413003
6515454012014044332
724666135441043445
oct2440365246203240
9384310526530422
1090192880404128
1126813649734627
12a147b991a96a8
133b431c92bb988
14183b5043d59cc
15a661ccc61088
hex5207aa9906a0

90192880404128 has 96 divisors (see below), whose sum is σ = 191358744192000. Its totient is φ = 41693719302144.

The previous prime is 90192880404113. The next prime is 90192880404167. The reversal of 90192880404128 is 82140408829109.

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, 3139673 + ... + 13792871.

It is an arithmetic number, because the mean of its divisors is an integer number (1993320252000).

Almost surely, 290192880404128 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 90192880404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95679372096000).

90192880404128 is an abundant number, since it is smaller than the sum of its proper divisors (101165863787872).

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

90192880404128 is a wasteful number, since it uses less digits than its factorization.

90192880404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10653502 (or 10653494 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 56.

The spelling of 90192880404128 in words is "ninety trillion, one hundred ninety-two billion, eight hundred eighty million, four hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 79 136 158 197 272 316 394 544 632 788 1264 1343 1576 2528 2686 3152 3349 5372 6304 6698 10744 13396 15563 21488 26792 31126 42976 53584 62252 107168 124504 249008 264571 498016 529142 1058284 2116568 4233136 8466272 10653199 21306398 42612796 85225592 170451184 181104383 340902368 362208766 724417532 841602721 1448835064 1683205442 2098680203 2897670128 3366410884 4197360406 5795340256 6732821768 8394720812 13465643536 14307246257 16789441624 26931287072 28614492514 33578883248 35677563451 57228985028 67157766496 71355126902 114457970056 142710253804 165795736037 228915940112 285420507608 331591472074 457831880224 570841015216 663182944148 1141682030432 1326365888296 2652731776592 2818527512629 5305463553184 5637055025258 11274110050516 22548220101032 45096440202064 90192880404128