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54733677633745 = 5114435234295231
BaseRepresentation
bin11000111000111101011010…
…11010011010000011010001
321011210111012002202102021021
430130132231122122003101
524133224032433234440
6312224145425155441
714346243361421005
oct1434365532320321
9234714162672237
1054733677633745
1116492471136010
12617b905a8bb81
132470495c42b76
14d731a4894705
1564db365e584a
hex31c7ad69a0d1

54733677633745 has 32 divisors (see below), whose sum is σ = 71950427725824. Its totient is φ = 39640505860800.

The previous prime is 54733677633731. The next prime is 54733677633779.

It is a happy number.

54733677633745 is nontrivially palindromic in base 10.

54733677633745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54733677633745 - 27 = 54733677633617 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10595280 + ... + 14890510.

It is an arithmetic number, because the mean of its divisors is an integer number (2248450866432).

Almost surely, 254733677633745 is an apocalyptic number.

54733677633745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54733677633745 is a deficient number, since it is larger than the sum of its proper divisors (17216750092079).

54733677633745 is a wasteful number, since it uses less digits than its factorization.

54733677633745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296213.

The product of its digits is 2800526400, while the sum is 70.

The spelling of 54733677633745 in words is "fifty-four trillion, seven hundred thirty-three billion, six hundred seventy-seven million, six hundred thirty-three thousand, seven hundred forty-five".

Divisors: 1 5 11 55 443 523 2215 2615 4873 5753 24365 28765 231689 1158445 2548579 4295231 12742895 21476155 47247541 236237705 1902787333 2246405813 9513936665 11232029065 20930660663 24710463943 104653303315 123552319715 995157775159 4975788875795 10946735526749 54733677633745