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56616256233541 = 3796131047715193
BaseRepresentation
bin11001101111101111111111…
…10101110110000001000101
321102110110110020112002200001
430313313333311312001011
524410100043043433131
6320225052110121301
714632250415454234
oct1467677765660105
9242413406462601
1056616256233541
111704890172a994
1264247397b0231
132578b755ac274
14dda35466cb1b
15682ababc2261
hex337dffd76045

56616256233541 has 16 divisors (see below), whose sum is σ = 58161852487024. Its totient is φ = 55071474476544.

The previous prime is 56616256233421. The next prime is 56616256233571. The reversal of 56616256233541 is 14533265261665.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42758847950625 + 13857408282916 = 6539025^2 + 3722554^2 .

It is a cyclic number.

It is not a de Polignac number, because 56616256233541 - 29 = 56616256233029 is a prime.

It is a super-3 number, since 3×566162562335413 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56616256233571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3726462241 + ... + 3726477433.

It is an arithmetic number, because the mean of its divisors is an integer number (3635115780439).

Almost surely, 256616256233541 is an apocalyptic number.

It is an amenable number.

56616256233541 is a deficient number, since it is larger than the sum of its proper divisors (1545596253483).

56616256233541 is a wasteful number, since it uses less digits than its factorization.

56616256233541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35320.

The product of its digits is 23328000, while the sum is 55.

The spelling of 56616256233541 in words is "fifty-six trillion, six hundred sixteen billion, two hundred fifty-six million, two hundred thirty-three thousand, five hundred forty-one".

Divisors: 1 37 9613 10477 15193 355681 387649 562141 100715401 146050309 159177061 3726469837 5403861433 5889551257 1530169087393 56616256233541