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57568294760 = 23517671936547
BaseRepresentation
bin110101100111010101…
…100111011101101000
312111121000220101021012
4311213111213131220
51420344440413020
642240240203052
74105411301024
oct654725473550
9174530811235
1057568294760
112246188aa09
12b1a7609488
135575a20352
142b0193d384
15176e0177c5
hexd67567768

57568294760 has 128 divisors (see below), whose sum is σ = 139937569920. Its totient is φ = 21235433472.

The previous prime is 57568294739. The next prime is 57568294813. The reversal of 57568294760 is 6749286575.

It is a self number, because there is not a number n which added to its sum of digits gives 57568294760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8789807 + ... + 8796353.

It is an arithmetic number, because the mean of its divisors is an integer number (1093262265).

Almost surely, 257568294760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57568294760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69968784960).

57568294760 is an abundant number, since it is smaller than the sum of its proper divisors (82369275160).

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

57568294760 is a wasteful number, since it uses less digits than its factorization.

57568294760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 57568294760 in words is "fifty-seven billion, five hundred sixty-eight million, two hundred ninety-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 193 268 335 340 386 536 670 680 772 965 1139 1340 1544 1930 2278 2680 3281 3860 4556 5695 6547 6562 7720 9112 11390 12931 13094 13124 16405 22780 25862 26188 26248 32735 32810 45560 51724 52376 64655 65470 65620 103448 111299 129310 130940 131240 219827 222598 258620 261880 438649 439654 445196 517240 556495 877298 879308 890392 1099135 1112990 1263571 1754596 1758616 2193245 2198270 2225980 2527142 3509192 4386490 4396540 4451960 5054284 6317855 7457033 8772980 8793080 10108568 12635710 14914066 17545960 21480707 25271420 29828132 37285165 42961414 50542840 59656264 74570330 84659257 85922828 107403535 149140660 169318514 171845656 214807070 298281320 338637028 423296285 429614140 677274056 846592570 859228280 1439207369 1693185140 2878414738 3386370280 5756829476 7196036845 11513658952 14392073690 28784147380 57568294760