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53771342976 = 2732133590501
BaseRepresentation
bin110010000101000001…
…011001010010000000
312010210102021020121100
4302011001121102000
51340110430433401
640411402254400
73612334605531
oct620501312200
9163712236540
1053771342976
112089358092a
12a507ab7400
1350bc1b2510
142861562688
1515ea9eeb86
hexc85059480

53771342976 has 96 divisors (see below), whose sum is σ = 166635197820. Its totient is φ = 16545024000.

The previous prime is 53771342951. The next prime is 53771343019. The reversal of 53771342976 is 67924317735.

53771342976 is a `hidden beast` number, since 537 + 7 + 1 + 34 + 2 + 9 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45881640000 + 7889702976 = 214200^2 + 88824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1780275 + ... + 1810226.

Almost surely, 253771342976 is an apocalyptic number.

It is an amenable number.

53771342976 is an abundant number, since it is smaller than the sum of its proper divisors (112863854844).

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

53771342976 is a wasteful number, since it uses less digits than its factorization.

53771342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590534 (or 3590519 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 53771342976 in words is "fifty-three billion, seven hundred seventy-one million, three hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 3590501 7181002 10771503 14362004 21543006 28724008 32314509 43086012 46676513 57448016 64629018 86172024 93353026 114896032 129258036 140029539 172344048 186706052 229792064 258516072 280059078 344688096 373412104 420088617 459584128 517032144 560118156 689376192 746824208 840177234 1034064288 1120236312 1378752384 1493648416 1680354468 2068128576 2240472624 2987296832 3360708936 4136257152 4480945248 5974593664 6721417872 8961890496 13442835744 17923780992 26885671488 53771342976