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56061515011536 = 24321133445275013
BaseRepresentation
bin11001011111100110101101…
…01100000001010111010000
321100111102120101001011220200
430233303112230001113100
524322002440320332121
6315122145432335200
714544211414046256
oct1457632654012720
9240442511034820
1056061515011536
1116954611781151
12635511bb44500
132538769359b88
14dbb56b17a5d6
1567344e35ca26
hex32fcd6b015d0

56061515011536 has 60 divisors (see below), whose sum is σ = 158282824693188. Its totient is φ = 18521798464512.

The previous prime is 56061515011529. The next prime is 56061515011547. The reversal of 56061515011536 is 63511051516065.

56061515011536 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 1 + 51 + 50 + 11 + 536 = 666.

56061515011536 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 2 ways, for example, as 7863986318400 + 48197528693136 = 2804280^2 + 6942444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56061515011491 and 56061515011500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722621235 + ... + 1722653778.

Almost surely, 256061515011536 is an apocalyptic number.

It is an amenable number.

56061515011536 is an abundant number, since it is smaller than the sum of its proper divisors (102221309681652).

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

56061515011536 is a wasteful number, since it uses less digits than its factorization.

56061515011536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445275140 (or 3445275131 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 56061515011536 in words is "fifty-six trillion, sixty-one billion, five hundred fifteen million, eleven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 3445275013 6890550026 10335825039 13781100052 20671650078 27562200104 31007475117 41343300156 55124400208 62014950234 82686600312 124029900468 165373200624 248059800936 389316076469 496119601872 778632152938 1167948229407 1557264305876 2335896458814 3114528611752 3503844688221 4671792917628 6229057223504 7007689376442 9343585835256 14015378752884 18687171670512 28030757505768 56061515011536