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90963992448 = 2732711280257
BaseRepresentation
bin101010010110111100…
…0000101111110000000
322200210102210121011100
41110231320011332000
52442243240224243
6105442134014400
76400113115110
oct1245570057600
9280712717140
1090963992448
113563989096a
12157677a7400
138768762c04
14458cd55040
152575ce90d3
hex152de05f80

90963992448 has 96 divisors (see below), whose sum is σ = 299152442160. Its totient is φ = 25989709824.

The previous prime is 90963992429. The next prime is 90963992453. The reversal of 90963992448 is 84429936909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5632065 + ... + 5648192.

Almost surely, 290963992448 is an apocalyptic number.

It is an amenable number.

90963992448 is an abundant number, since it is smaller than the sum of its proper divisors (208188449712).

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

90963992448 is a wasteful number, since it uses less digits than its factorization.

90963992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280284 (or 11280269 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 90963992448 in words is "ninety billion, nine hundred sixty-three million, nine hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 11280257 22560514 33840771 45121028 67681542 78961799 90242056 101522313 135363084 157923598 180484112 203044626 236885397 270726168 315847196 360968224 406089252 473770794 541452336 631694392 710656191 721936448 812178504 947541588 1082904672 1263388784 1421312382 1443872896 1624357008 1895083176 2165809344 2526777568 2842624764 3248714016 3790166352 4331618688 5053555136 5685249528 6497428032 7580332704 10107110272 11370499056 12994856064 15160665408 22740998112 30321330816 45481996224 90963992448