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10077657841 is a prime number
BaseRepresentation
bin10010110001010110…
…01101101011110001
3222000022220001122201
421120223031223301
5131114340022331
64343555103201
7504506451436
oct113053155361
928008801581
1010077657841
114301636549
121b52ba1b01
13c47b0a764
146b85b9b8d
153deaeca61
hex258acdaf1

10077657841 has 2 divisors, whose sum is σ = 10077657842. Its totient is φ = 10077657840.

The previous prime is 10077657839. The next prime is 10077657871. The reversal of 10077657841 is 14875677001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5968335025 + 4109322816 = 77255^2 + 64104^2 .

It is a cyclic number.

It is not a de Polignac number, because 10077657841 - 21 = 10077657839 is a prime.

Together with 10077657839, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10077657791 and 10077657800.

It is not a weakly prime, because it can be changed into another prime (10077657871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038828920 + 5038828921.

It is an arithmetic number, because the mean of its divisors is an integer number (5038828921).

Almost surely, 210077657841 is an apocalyptic number.

It is an amenable number.

10077657841 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077657841 is an equidigital number, since it uses as much as digits as its factorization.

10077657841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 10077657841 in words is "ten billion, seventy-seven million, six hundred fifty-seven thousand, eight hundred forty-one".