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54992629945 = 5112175346877
BaseRepresentation
bin110011001101110100…
…001111000010111001
312020221112100001101001
4303031310033002321
51400111103124240
641132510525001
73654524433121
oct631564170271
9166845301331
1054992629945
112135a9a6900
12a7a8b06761
13525521ab26
142939833c81
15166cd4289a
hexccdd0f0b9

54992629945 has 24 divisors (see below), whose sum is σ = 76802555592. Its totient is φ = 37642007040.

The previous prime is 54992629931. The next prime is 54992629961.

54992629945 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 27647708176 + 27344921769 = 166276^2 + 165363^2 .

It is not a de Polignac number, because 54992629945 - 219 = 54992105657 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2663154 + ... + 2683723.

It is an arithmetic number, because the mean of its divisors is an integer number (3200106483).

Almost surely, 254992629945 is an apocalyptic number.

54992629945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54992629945 is a deficient number, since it is larger than the sum of its proper divisors (21809925647).

54992629945 is a wasteful number, since it uses less digits than its factorization.

54992629945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346921 (or 5346910 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 64.

The spelling of 54992629945 in words is "fifty-four billion, nine hundred ninety-two million, six hundred twenty-nine thousand, nine hundred forty-five".

Divisors: 1 5 11 17 55 85 121 187 605 935 2057 10285 5346877 26734385 58815647 90896909 294078235 454484545 646972117 999865999 3234860585 4999329995 10998525989 54992629945