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2351426688 = 273213157013
BaseRepresentation
bin1000110000100111…
…1110110010000000
320001212121212000100
42030021332302000
514303431123223
61025155122400
7112161540252
oct21411766200
96055555010
102351426688
11aa7356746
125575a3400
132b620ca50
14184417cd2
15db67e043
hex8c27ec80

2351426688 has 96 divisors (see below), whose sum is σ = 7287019740. Its totient is φ = 723511296.

The previous prime is 2351426687. The next prime is 2351426729. The reversal of 2351426688 is 8866241532.

It can be written as a sum of positive squares in 2 ways, for example, as 2320156224 + 31270464 = 48168^2 + 5592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2351426687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63531 + ... + 93482.

Almost surely, 22351426688 is an apocalyptic number.

It is an amenable number.

2351426688 is an abundant number, since it is smaller than the sum of its proper divisors (4935593052).

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

2351426688 is a wasteful number, since it uses less digits than its factorization.

2351426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157046 (or 157031 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2351426688 is about 48491.5115045922. The cubic root of 2351426688 is about 1329.7718884415.

The spelling of 2351426688 in words is "two billion, three hundred fifty-one million, four hundred twenty-six thousand, six hundred eighty-eight".

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 157013 314026 471039 628052 942078 1256104 1413117 1884156 2041169 2512208 2826234 3768312 4082338 5024416 5652468 6123507 7536624 8164676 10048832 11304936 12247014 15073248 16329352 18370521 20097664 22609872 24494028 30146496 32658704 36741042 45219744 48988056 60292992 65317408 73482084 90439488 97976112 130634816 146964168 180878976 195952224 261269632 293928336 391904448 587856672 783808896 1175713344 2351426688