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90316454616 = 233229151286457
BaseRepresentation
bin101010000011101000…
…1111011101011011000
322122010022100021020200
41110013101323223120
52434432003021431
6105254003022200
76345061124523
oct1240721735330
9278108307220
1090316454616
1135337314133
121560696a960
13869456182b
14452ad55bba
15253903aee6
hex150747bad8

90316454616 has 96 divisors (see below), whose sum is σ = 254718453600. Its totient is φ = 28874764800.

The previous prime is 90316454581. The next prime is 90316454663. The reversal of 90316454616 is 61645461309.

90316454616 is a `hidden beast` number, since 9 + 0 + 31 + 64 + 546 + 16 = 666.

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 23 ways as a sum of consecutive naturals, for example, 172060 + ... + 458516.

It is an arithmetic number, because the mean of its divisors is an integer number (2653317225).

Almost surely, 290316454616 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 90316454616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127359226800).

90316454616 is an abundant number, since it is smaller than the sum of its proper divisors (164401998984).

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

90316454616 is a wasteful number, since it uses less digits than its factorization.

90316454616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286649 (or 286642 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 90316454616 in words is "ninety billion, three hundred sixteen million, four hundred fifty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 151 174 232 261 302 348 453 522 604 696 906 1044 1208 1359 1812 2088 2718 3624 4379 5436 8758 10872 13137 17516 26274 35032 39411 52548 78822 105096 157644 286457 315288 572914 859371 1145828 1718742 2291656 2578113 3437484 5156226 6874968 8307253 10312452 16614506 20624904 24921759 33229012 43255007 49843518 66458024 74765277 86510014 99687036 129765021 149530554 173020028 199374072 259530042 299061108 346040056 389295063 519060084 598122216 778590126 1038120168 1254395203 1557180252 2508790406 3114360504 3763185609 5017580812 7526371218 10035161624 11289556827 15052742436 22579113654 30105484872 45158227308 90316454616