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56556770128 = 2419811122937
BaseRepresentation
bin110100101011000010…
…111101001101010000
312101222112112121022221
4310223002331031100
51411312013121003
641552023510424
74041346420435
oct645302751520
9171875477287
1056556770128
1121a92905541
12ab648b8414
1354442a9671
142a47471b8c
15171030b7bd
hexd2b0bd350

56556770128 has 40 divisors (see below), whose sum is σ = 115365294720. Its totient is φ = 26785578240.

The previous prime is 56556770119. The next prime is 56556770143. The reversal of 56556770128 is 82107765565.

It is a super-2 number, since 2×565567701282 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2454276 + ... + 2477212.

It is an arithmetic number, because the mean of its divisors is an integer number (2884132368).

Almost surely, 256556770128 is an apocalyptic number.

It is an amenable number.

56556770128 is an abundant number, since it is smaller than the sum of its proper divisors (58808524592).

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

56556770128 is a wasteful number, since it uses less digits than its factorization.

56556770128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31075 (or 31069 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 52.

The spelling of 56556770128 in words is "fifty-six billion, five hundred fifty-six million, seven hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 8111 16222 22937 32444 45874 64888 91748 129776 154109 183496 308218 366992 435803 616436 871606 1232872 1743212 2465744 3486424 6972848 186042007 372084014 744168028 1488336056 2976672112 3534798133 7069596266 14139192532 28278385064 56556770128