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53715135645 = 3259719363761
BaseRepresentation
bin110010000001101010…
…111110110010011101
312010122111111121122100
4302001222332302131
51340002033320040
640402033435313
73611053056003
oct620152766235
9163574447570
1053715135645
1120864880496
12a4b110bb39
1350b0662942
142857cd0a73
1515e5aeab30
hexc81abec9d

53715135645 has 48 divisors (see below), whose sum is σ = 94554965232. Its totient is φ = 28205383680.

The previous prime is 53715135631. The next prime is 53715135659. The reversal of 53715135645 is 54653151735.

53715135645 is a `hidden beast` number, since 5 + 3 + 71 + 5 + 13 + 564 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (53715135631) and next prime (53715135659).

It can be written as a sum of positive squares in 8 ways, for example, as 530012484 + 53185123161 = 23022^2 + 230619^2 .

It is not a de Polignac number, because 53715135645 - 28 = 53715135389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 53715135645.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 810565 + ... + 874325.

It is an arithmetic number, because the mean of its divisors is an integer number (1969895109).

Almost surely, 253715135645 is an apocalyptic number.

It is an amenable number.

53715135645 is a deficient number, since it is larger than the sum of its proper divisors (40839829587).

53715135645 is a wasteful number, since it uses less digits than its factorization.

53715135645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64062 (or 64059 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The spelling of 53715135645 in words is "fifty-three billion, seven hundred fifteen million, one hundred thirty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 97 193 291 485 579 873 965 1455 1737 2895 4365 8685 18721 56163 63761 93605 168489 191283 280815 318805 573849 842445 956415 2869245 6184817 12305873 18554451 30924085 36917619 55663353 61529365 92772255 110752857 184588095 278316765 553764285 1193669681 3581009043 5968348405 10743027129 17905045215 53715135645