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54656444465645 = 51131107069299401
BaseRepresentation
bin11000110110101101100011…
…11101010000000111101101
321011112002211120220222002212
430123112301331100013231
524130442344240400040
6312124453550300205
714340540434342501
oct1433266175200755
9234462746828085
1054656444465645
1116462739012770
1261689507b7665
1324661080c42b9
14d6d559388301
1564bb15eadd65
hex31b5b1f501ed

54656444465645 has 32 divisors (see below), whose sum is σ = 73859263810560. Its totient is φ = 38467391040000.

The previous prime is 54656444465543. The next prime is 54656444465657.

54656444465645 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-54656444465645 is a prime.

It is a super-3 number, since 3×546564444656453 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182402945 + ... + 182702345.

It is an arithmetic number, because the mean of its divisors is an integer number (2308101994080).

Almost surely, 254656444465645 is an apocalyptic number.

54656444465645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54656444465645 is a deficient number, since it is larger than the sum of its proper divisors (19202819344915).

54656444465645 is a wasteful number, since it uses less digits than its factorization.

54656444465645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406517.

The product of its digits is 3317760000, while the sum is 68.

The spelling of 54656444465645 in words is "fifty-four trillion, six hundred fifty-six billion, four hundred forty-four million, four hundred sixty-five thousand, six hundred forty-five".

Divisors: 1 5 11 31 55 155 341 1705 107069 299401 535345 1177759 1497005 3293411 3319139 5888795 9281431 16467055 16595695 36510529 46407155 102095741 182552645 510478705 32056565669 160282828345 352622222359 993753535739 1763111111795 4968767678695 10931288893129 54656444465645