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56555515050 = 23527116332579
BaseRepresentation
bin110100101010111110…
…001010110010101010
312101222110011211200120
4310222332022302222
51411311202440200
641551540544110
74041332642346
oct645276126252
9171873154616
1056555515050
1121a92128591
12ab643b2036
135443c5a308
142a47226626
15171015e9a0
hexd2af8acaa

56555515050 has 96 divisors (see below), whose sum is σ = 143110126080. Its totient is φ = 14777380800.

The previous prime is 56555515031. The next prime is 56555515103. The reversal of 56555515050 is 5051555565.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56555514993 and 56555515011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1719661 + ... + 1752239.

It is an arithmetic number, because the mean of its divisors is an integer number (1490730480).

Almost surely, 256555515050 is an apocalyptic number.

56555515050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56555515050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71555063040).

56555515050 is an abundant number, since it is smaller than the sum of its proper divisors (86554611030).

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

56555515050 is a wasteful number, since it uses less digits than its factorization.

56555515050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32828 (or 32823 counting only the distinct ones).

The product of its (nonzero) digits is 468750, while the sum is 42.

The spelling of 56555515050 in words is "fifty-six billion, five hundred fifty-five million, five hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 163 213 326 355 426 489 710 815 978 1065 1630 1775 2130 2445 3550 4075 4890 5325 8150 10650 11573 12225 23146 24450 32579 34719 57865 65158 69438 97737 115730 162895 173595 195474 289325 325790 347190 488685 578650 814475 867975 977370 1628950 1735950 2313109 2443425 4626218 4886850 5310377 6939327 10620754 11565545 13878654 15931131 23131090 26551885 31862262 34696635 53103770 57827725 69393270 79655655 115655450 132759425 159311310 173483175 265518850 346966350 377036767 398278275 754073534 796556550 1131110301 1885183835 2262220602 3770367670 5655551505 9425919175 11311103010 18851838350 28277757525 56555515050