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56604351240 = 23325179249077
BaseRepresentation
bin110100101101111000…
…011101101100001000
312102002212001222100100
4310231320131230020
51411411203214430
642000443405400
74042465022043
oct645570355410
9172085058310
1056604351240
1122007753978
12ab78823860
1354510c8a78
142a4d8d9c5a
1517145a9960
hexd2de1db08

56604351240 has 96 divisors (see below), whose sum is σ = 194785582680. Its totient is φ = 14206580736.

The previous prime is 56604351211. The next prime is 56604351259. The reversal of 56604351240 is 4215340665.

56604351240 is a `hidden beast` number, since 5 + 6 + 60 + 4 + 351 + 240 = 666.

56604351240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40514443524 + 16089907716 = 201282^2 + 126846^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56604351195 and 56604351204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4618419 + ... + 4630658.

Almost surely, 256604351240 is an apocalyptic number.

It is an amenable number.

56604351240 is an abundant number, since it is smaller than the sum of its proper divisors (138181231440).

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

56604351240 is a wasteful number, since it uses less digits than its factorization.

56604351240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249111 (or 9249104 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56604351240 in words is "fifty-six billion, six hundred four million, three hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 9249077 18498154 27747231 36996308 46245385 55494462 73992616 83241693 92490770 110988924 138736155 157234309 166483386 184981540 221977848 277472310 314468618 332966772 369963080 416208465 471702927 554944620 628937236 665933544 786171545 832416930 943405854 1109889240 1257874472 1415108781 1572343090 1664833860 1886811708 2358514635 2830217562 3144686180 3329667720 3773623416 4717029270 5660435124 6289372360 7075543905 9434058540 11320870248 14151087810 18868117080 28302175620 56604351240