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75471943876681 = 112172464572
BaseRepresentation
bin10001001010010000101110…
…011001111100000001001001
3100220020001021112101212120211
4101022100232121330001021
534343013020113023211
6424303155443121121
721616445061120622
oct2112205631740111
9326201245355524
1075471943876681
1122058520850400
12856ab753731a1
133315c874aa721
14148cc0c232a49
158ad2e9be9e21
hex44a42e67c049

75471943876681 has 27 divisors (see below), whose sum is σ = 88125519004117. Its totient is φ = 64573535248640.

The previous prime is 75471943876643. The next prime is 75471943876697. The reversal of 75471943876681 is 18667834917457.

It is a happy number.

The square root of 75471943876681 is 8687459.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29079498436681 + 46392445440000 = 5392541^2 + 6811200^2 .

It is not a de Polignac number, because 75471943876681 - 211 = 75471943874633 is a prime.

It is a super-2 number, since 2×754719438766812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75471943876598 and 75471943876607.

It is not an unprimeable number, because it can be changed into a prime (75471943846681) 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 26 ways as a sum of consecutive naturals, for example, 1624531605 + ... + 1624578061.

Almost surely, 275471943876681 is an apocalyptic number.

75471943876681 is the 8687459-th square number.

75471943876681 is the 4343730-th centered octagonal number.

It is an amenable number.

75471943876681 is a deficient number, since it is larger than the sum of its proper divisors (12653575127436).

75471943876681 is an frugal number, since it uses more digits than its factorization.

75471943876681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92970 (or 46485 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 76.

The spelling of 75471943876681 in words is "seventy-five trillion, four hundred seventy-one billion, nine hundred forty-three million, eight hundred seventy-six thousand, six hundred eighty-one".

Divisors: 1 11 17 121 187 289 2057 3179 34969 46457 511027 789769 5621297 8687459 13426073 95562049 147686803 1624554833 2158252849 23740781339 36690298433 261148594729 403593282763 623735073361 4439526110393 6861085806971 75471943876681