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256615611555060 = 223251425642286417
BaseRepresentation
bin111010010110001111111010…
…010111101101110011110100
31020122121012202012002002121200
4322112033322113231303310
5232113342233024230220
62305435330130012500
7105023603035321002
oct7226177227556364
91218535665062550
10256615611555060
11748470848497aa
12249459a9117130
13b02599612b394
1447523947d9a72
151ea026336a890
hexe963fa5edcf4

256615611555060 has 36 divisors (see below), whose sum is σ = 778400688384228. Its totient is φ = 68430829747968.

The previous prime is 256615611555047. The next prime is 256615611555077. The reversal of 256615611555060 is 60555116516652.

256615611555060 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 1 + 561 + 15 + 5 + 5 + 0 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168274184978916 + 88341426576144 = 12972054^2 + 9399012^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 256615611554988 and 256615611555006.

It is a congruent number.

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, 712821143029 + ... + 712821143388.

Almost surely, 2256615611555060 is an apocalyptic number.

256615611555060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256615611555060 is an abundant number, since it is smaller than the sum of its proper divisors (521785076829168).

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

256615611555060 is a wasteful number, since it uses less digits than its factorization.

256615611555060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425642286432 (or 1425642286427 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 54.

The spelling of 256615611555060 in words is "two hundred fifty-six trillion, six hundred fifteen billion, six hundred eleven million, five hundred fifty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1425642286417 2851284572834 4276926859251 5702569145668 7128211432085 8553853718502 12830780577753 14256422864170 17107707437004 21384634296255 25661561155506 28512845728340 42769268592510 51323122311012 64153902888765 85538537185020 128307805777530 256615611555060