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75642940317025 = 52199287412
BaseRepresentation
bin10001001100101111111110…
…100101100101110101100001
3100220211101122120101001220001
4101030233332211211311201
534403313220210121100
6424513515334220001
721635010401642644
oct2114577645456541
9326741576331801
1075642940317025
1122113a9988a994
1285981377b4601
1333291389c6683
1414971d036ba5b
158b29a6c71d6a
hex44cbfe965d61

75642940317025 has 27 divisors (see below), whose sum is σ = 94281743645913. Its totient is φ = 60203371773600.

The previous prime is 75642940317011. The next prime is 75642940317073. The reversal of 75642940317025 is 52071304924657.

The square root of 75642940317025 is 8697295.

It is a perfect power (a square), and thus also a powerful number.

75642940317025 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16443211530529 + 59199728786496 = 4055023^2 + 7694136^2 .

It is not a de Polignac number, because 75642940317025 - 29 = 75642940316513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8653804155 + ... + 8653812895.

Almost surely, 275642940317025 is an apocalyptic number.

75642940317025 is the 8697295-th square number.

75642940317025 is the 4348648-th centered octagonal number.

It is an amenable number.

75642940317025 is a deficient number, since it is larger than the sum of its proper divisors (18638803328888).

75642940317025 is an frugal number, since it uses more digits than its factorization.

75642940317025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17890 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 75642940317025 in words is "seventy-five trillion, six hundred forty-two billion, nine hundred forty million, three hundred seventeen thousand, twenty-five".

Divisors: 1 5 25 199 995 4975 8741 39601 43705 198005 218525 990025 1739459 8697295 43486475 76405081 346152341 382025405 1730761705 1910127025 8653808525 15204611119 76023055595 380115277975 3025717612681 15128588063405 75642940317025