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53949082365 = 32529401103093
BaseRepresentation
bin110010001111100111…
…011010101011111101
312011020210201100012200
4302033213122223331
51340441431113430
640441152022113
73616623430263
oct621747325375
9164223640180
1053949082365
112097493a092
12a557531939
135119c74459
14287adcc433
15160b40d460
hexc8f9daafd

53949082365 has 48 divisors (see below), whose sum is σ = 96978463920. Its totient is φ = 27711129600.

The previous prime is 53949082339. The next prime is 53949082381. The reversal of 53949082365 is 56328094935.

53949082365 is a `hidden beast` number, since 539 + 49 + 0 + 8 + 2 + 3 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4320827289 + 49628255076 = 65733^2 + 222774^2 .

It is not a de Polignac number, because 53949082365 - 26 = 53949082301 is a prime.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 471759 + ... + 574851.

It is an arithmetic number, because the mean of its divisors is an integer number (2020384665).

Almost surely, 253949082365 is an apocalyptic number.

It is an amenable number.

53949082365 is a deficient number, since it is larger than the sum of its proper divisors (43029381555).

53949082365 is a wasteful number, since it uses less digits than its factorization.

53949082365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103534 (or 103531 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 53949082365 in words is "fifty-three billion, nine hundred forty-nine million, eighty-two thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 401 435 1203 1305 2005 3609 6015 11629 18045 34887 58145 103093 104661 174435 309279 515465 523305 927837 1546395 2989697 4639185 8969091 14948485 26907273 41340293 44845455 124020879 134536365 206701465 372062637 620104395 1198868497 1860313185 3596605491 5994342485 10789816473 17983027455 53949082365