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54125083961 = 1321731851253
BaseRepresentation
bin110010011010000110…
…110011110100111001
312011201001220011000022
4302122012303310321
51341322010141321
640510440220225
73624161423414
oct623206636471
9164631804008
1054125083961
1120a55220753
12a5a646a675
135147578400
142896524b7b
15161bac6dab
hexc9a1b3d39

54125083961 has 12 divisors (see below), whose sum is σ = 58947629868. Its totient is φ = 49672793664.

The previous prime is 54125083949. The next prime is 54125083967. The reversal of 54125083961 is 16938052145.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 191988736 + 53933095225 = 13856^2 + 232235^2 .

It is a de Polignac number, because none of the positive numbers 2k-54125083961 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54125083967) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 896390 + ... + 954863.

It is an arithmetic number, because the mean of its divisors is an integer number (4912302489).

Almost surely, 254125083961 is an apocalyptic number.

It is an amenable number.

54125083961 is a deficient number, since it is larger than the sum of its proper divisors (4822545907).

54125083961 is a wasteful number, since it uses less digits than its factorization.

54125083961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851452 (or 1851439 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 54125083961 in words is "fifty-four billion, one hundred twenty-five million, eighty-three thousand, nine hundred sixty-one".

Divisors: 1 13 169 173 2249 29237 1851253 24066289 312861757 320266769 4163467997 54125083961