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56653046010 = 232511411395739
BaseRepresentation
bin110100110000110010…
…001110000011111010
312102020020200221000100
4310300302032003322
51412011134433020
642005343220230
74043625642231
oct646062160372
9172206627010
1056653046010
1122032192a90
12ab90ba7676
13545b218042
142a56173b18
1517189c7a90
hexd30c8e0fa

56653046010 has 96 divisors (see below), whose sum is σ = 164607992640. Its totient is φ = 13399084800.

The previous prime is 56653045993. The next prime is 56653046027. The reversal of 56653046010 is 1064035665.

56653046010 is a `hidden beast` number, since 5 + 66 + 530 + 4 + 60 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56653045993) and next prime (56653046027).

It is a super-2 number, since 2×566530460102 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657280 + ... + 738459.

It is an arithmetic number, because the mean of its divisors is an integer number (1714666590).

Almost surely, 256653046010 is an apocalyptic number.

56653046010 is an abundant number, since it is smaller than the sum of its proper divisors (107954946630).

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

56653046010 is a wasteful number, since it uses less digits than its factorization.

56653046010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395804 (or 1395801 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56653046010 in words is "fifty-six billion, six hundred fifty-three million, forty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3690 4059 4510 6765 8118 13530 20295 40590 1395739 2791478 4187217 6978695 8374434 12561651 13957390 15353129 20936085 25123302 30706258 41872170 46059387 57225299 62808255 76765645 92118774 114450598 125616510 138178161 153531290 171675897 230296935 276356322 286126495 343351794 460593870 515027691 572252990 629478289 690890805 858379485 1030055382 1258956578 1381781610 1716758970 1888434867 2575138455 3147391445 3776869734 5150276910 5665304601 6294782890 9442174335 11330609202 18884348670 28326523005 56653046010