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90495268704 = 25321979158777
BaseRepresentation
bin101010001000111110…
…0000011011101100000
322122120202210222001200
41110101330003131200
52440313242044304
6105323431401200
76352362043431
oct1242174033540
9278522728050
1090495268704
1135419246875
1215656823200
1386c260b999
1445469c1488
152549aace39
hex1511f03760

90495268704 has 72 divisors (see below), whose sum is σ = 257477580360. Its totient is φ = 30149657088.

The previous prime is 90495268687. The next prime is 90495268711. The reversal of 90495268704 is 40786259409.

90495268704 is a `hidden beast` number, since 9 + 0 + 49 + 526 + 8 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490564 + ... + 649340.

It is an arithmetic number, because the mean of its divisors is an integer number (3576077505).

Almost surely, 290495268704 is an apocalyptic number.

It is an amenable number.

90495268704 is an abundant number, since it is smaller than the sum of its proper divisors (166982311656).

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

90495268704 is a wasteful number, since it uses less digits than its factorization.

90495268704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160772 (or 160761 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 90495268704 in words is "ninety billion, four hundred ninety-five million, two hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1979 3958 5937 7916 11874 15832 17811 23748 31664 35622 47496 63328 71244 94992 142488 158777 189984 284976 317554 476331 569952 635108 952662 1270216 1428993 1905324 2540432 2857986 3810648 5080864 5715972 7621296 11431944 15242592 22863888 45727776 314219683 628439366 942659049 1256878732 1885318098 2513757464 2827977147 3770636196 5027514928 5655954294 7541272392 10055029856 11311908588 15082544784 22623817176 30165089568 45247634352 90495268704