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2056596918984 = 2332171680226241
BaseRepresentation
bin11101111011010110101…
…110101001001011001000
321021121102202221020011200
4131323112232221023020
5232143402302401414
64212442041224200
7301404250243536
oct35732656511310
97247382836150
102056596918984
1172321a3887a3
122926ba192060
1311bc22c5a24a
147177b3b3156
153876baba109
hex1ded6ba92c8

2056596918984 has 48 divisors (see below), whose sum is σ = 5897594109420. Its totient is φ = 645206876160.

The previous prime is 2056596918979. The next prime is 2056596919049. The reversal of 2056596918984 is 4898196956502.

2056596918984 is a `hidden beast` number, since 20 + 5 + 6 + 596 + 9 + 1 + 8 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1834263922500 + 222332996484 = 1354350^2 + 471522^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840111897 + ... + 840114344.

Almost surely, 22056596918984 is an apocalyptic number.

2056596918984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2056596918984 is an abundant number, since it is smaller than the sum of its proper divisors (3840997190436).

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

2056596918984 is a wasteful number, since it uses less digits than its factorization.

2056596918984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680226270 (or 1680226263 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

Adding to 2056596918984 its sum of digits (72), we get a square (2056596919056 = 14340842).

It can be divided in two parts, 2056596 and 918984, that added together give a triangular number (2975580 = T2439).

The spelling of 2056596918984 in words is "two trillion, fifty-six billion, five hundred ninety-six million, nine hundred eighteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1680226241 3360452482 5040678723 6720904964 10081357446 13441809928 15122036169 20162714892 28563846097 30244072338 40325429784 57127692194 60488144676 85691538291 114255384388 120976289352 171383076582 228510768776 257074614873 342766153164 514149229746 685532306328 1028298459492 2056596918984