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54741611614745 = 5112127717708457
BaseRepresentation
bin11000111001001100001100…
…10100001001001000011001
321011211020200000221102010102
430130212012110021020121
524133341310033132440
6312231541010025145
714346644111224646
oct1434460624111031
9234736600842112
1054741611614745
1116495872711400
12618135ab781b5
13247115b8ac493
14d73718494dcd
1564de4cdeeb15
hex31c986509219

54741611614745 has 24 divisors (see below), whose sum is σ = 72205305397512. Its totient is φ = 39811713258240.

The previous prime is 54741611614721. The next prime is 54741611614799.

54741611614745 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 12392181184009 + 42349430430736 = 3520253^2 + 6507644^2 .

It is not a de Polignac number, because 54741611614745 - 28 = 54741611614489 is a prime.

It is a Duffinian 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, 76914557 + ... + 77623013.

It is an arithmetic number, because the mean of its divisors is an integer number (3008554391563).

Almost surely, 254741611614745 is an apocalyptic number.

54741611614745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54741611614745 is a deficient number, since it is larger than the sum of its proper divisors (17463693782767).

54741611614745 is a wasteful number, since it uses less digits than its factorization.

54741611614745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836201 (or 836190 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 56.

The spelling of 54741611614745 in words is "fifty-four trillion, seven hundred forty-one billion, six hundred eleven million, six hundred fourteen thousand, seven hundred forty-five".

Divisors: 1 5 11 55 121 605 127717 638585 708457 1404887 3542285 7024435 7793027 15453757 38965135 77268785 85723297 428616485 90482002669 452410013345 995302029359 4976510146795 10948322322949 54741611614745