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56011050146340 = 22325311172500813
BaseRepresentation
bin11001011110001000101101…
…01111110101101000100100
321100022121022101111102010100
430233010112233311220210
524320141112314140330
6315043042103224100
714540444015552352
oct1457042657655044
9240277271442110
1056011050146340
1116935175669a93
126347397448030
132533a861b72b3
14db8d40bdc7d2
15671e98c90060
hex32f116bf5a24

56011050146340 has 36 divisors (see below), whose sum is σ = 169900185444444. Its totient is φ = 14936280038976.

The previous prime is 56011050146333. The next prime is 56011050146371. The reversal of 56011050146340 is 4364105011065.

56011050146340 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 1 + 0 + 5 + 0 + 14 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31178130052644 + 24832920093696 = 5583738^2 + 4983264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56011050146295 and 56011050146304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155586250227 + ... + 155586250586.

It is an arithmetic number, because the mean of its divisors is an integer number (4719449595679).

Almost surely, 256011050146340 is an apocalyptic number.

It is an amenable number.

56011050146340 is an abundant number, since it is smaller than the sum of its proper divisors (113889135298104).

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

56011050146340 is a wasteful number, since it uses less digits than its factorization.

56011050146340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311172500828 (or 311172500823 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56011050146340 in words is "fifty-six trillion, eleven billion, fifty million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311172500813 622345001626 933517502439 1244690003252 1555862504065 1867035004878 2800552507317 3111725008130 3734070009756 4667587512195 5601105014634 6223450016260 9335175024390 11202210029268 14002762536585 18670350048780 28005525073170 56011050146340