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75707534315153 = 1329617809402313
BaseRepresentation
bin10001001101101100001000…
…101100001000111010010001
3100221001120101020101011100002
4101031230020230020322101
534410343012241041103
6425003321111535345
721642455163605126
oct2115541054107221
9327046336334302
1075707534315153
112213942647a814
1285a876408a555
13333226114c040
14149a39add874d
158b44d797e488
hex44db08b08e91

75707534315153 has 32 divisors (see below), whose sum is σ = 84583943690400. Its totient is φ = 67281294237696.

The previous prime is 75707534315117. The next prime is 75707534315209. The reversal of 75707534315153 is 35151343570757.

It can be written as a sum of positive squares in 16 ways, for example, as 32730161376784 + 42977372938369 = 5721028^2 + 6555713^2 .

It is a cyclic number.

It is not a de Polignac number, because 75707534315153 - 244 = 58115348270737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75707534315053) 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 31 ways as a sum of consecutive naturals, for example, 187979525 + ... + 188381837.

It is an arithmetic number, because the mean of its divisors is an integer number (2643248240325).

Almost surely, 275707534315153 is an apocalyptic number.

It is an amenable number.

75707534315153 is a deficient number, since it is larger than the sum of its proper divisors (8876409375247).

75707534315153 is a wasteful number, since it uses less digits than its factorization.

75707534315153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403781.

The product of its (nonzero) digits is 23152500, while the sum is 56.

The spelling of 75707534315153 in words is "seventy-five trillion, seven hundred seven billion, five hundred thirty-four million, three hundred fifteen thousand, one hundred fifty-three".

Divisors: 1 13 29 377 617 809 8021 10517 17893 23461 232609 304993 402313 499153 5230069 6488989 11667077 14475437 151672001 188180681 248227121 325471217 3226952573 4231125821 7198586509 9438665293 93581624617 122702648809 200815740889 2610604631557 5823656485781 75707534315153