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56723577532765 = 5112137212152261
BaseRepresentation
bin11001110010110111111001…
…01100000111000101011101
321102211201110122110222101021
430321123330230013011131
524413324341322022030
6320350241330044141
714643100062451363
oct1471337454070535
9242751418428337
1056723577532765
111708a374811500
1264414ab419651
132586019b3c310
141001615ba5633
1568579ca4097a
hex3396fcb0715d

56723577532765 has 24 divisors (see below), whose sum is σ = 80574165071064. Its totient is φ = 38080163932800.

The previous prime is 56723577532759. The next prime is 56723577532771.

56723577532765 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56723577532759) and next prime (56723577532771).

It can be written as a sum of positive squares in 4 ways, for example, as 239890325796 + 56483687206969 = 489786^2 + 7515563^2 .

It is not a de Polignac number, because 56723577532765 - 211 = 56723577530717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56723577532694 and 56723577532703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3606068266 + ... + 3606083995.

It is an arithmetic number, because the mean of its divisors is an integer number (3357256877961).

Almost surely, 256723577532765 is an apocalyptic number.

56723577532765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56723577532765 is a deficient number, since it is larger than the sum of its proper divisors (23850587538299).

56723577532765 is a wasteful number, since it uses less digits than its factorization.

56723577532765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7212152301 (or 7212152290 counting only the distinct ones).

The product of its digits is 1944810000, while the sum is 70.

The spelling of 56723577532765 in words is "fifty-six trillion, seven hundred twenty-three billion, five hundred seventy-seven million, five hundred thirty-two thousand, seven hundred sixty-five".

Divisors: 1 5 11 13 55 65 121 143 605 715 1573 7865 7212152261 36060761305 79333674871 93757979393 396668374355 468789896965 872670423581 1031337773323 4363352117905 5156688866615 11344715506553 56723577532765