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56692920240 = 24325117158197
BaseRepresentation
bin110100110011001010…
…010100111110110000
312102100000201202011200
4310303022110332300
51412101341421430
642013330011200
74044621604515
oct646312247660
9172300652150
1056692920240
11220527480a0
12aba2416b00
135466569568
142a5b59330c
15171c252460
hexd33294fb0

56692920240 has 120 divisors (see below), whose sum is σ = 207702273168. Its totient is φ = 13743736320.

The previous prime is 56692920239. The next prime is 56692920241. The reversal of 56692920240 is 4202929665.

56692920240 is a `hidden beast` number, since 566 + 9 + 29 + 20 + 2 + 40 = 666.

56692920240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56692920239) and next prime (56692920241).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56692920241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3571179 + ... + 3587018.

Almost surely, 256692920240 is an apocalyptic number.

It is an amenable number.

56692920240 is an abundant number, since it is smaller than the sum of its proper divisors (151009352928).

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

56692920240 is a wasteful number, since it uses less digits than its factorization.

56692920240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158227 (or 7158218 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56692920240 in words is "fifty-six billion, six hundred ninety-two million, nine hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 7158197 14316394 21474591 28632788 35790985 42949182 57265576 64423773 71581970 78740167 85898364 107372955 114531152 128847546 143163940 157480334 171796728 214745910 236220501 257695092 286327880 314960668 322118865 343593456 393700835 429491820 472441002 515390184 572655760 629921336 644237730 708661503 787401670 858983640 944882004 1030780368 1181102505 1259842672 1288475460 1417323006 1574803340 1717967280 1889764008 2362205010 2576950920 2834646012 3149606680 3543307515 3779528016 4724410020 5153901840 5669292024 6299213360 7086615030 9448820040 11338584048 14173230060 18897640080 28346460120 56692920240