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10264551677 is a prime number
BaseRepresentation
bin10011000111101000…
…01010000011111101
3222111100120020210122
421203310022003331
5132010211123202
64414312544325
7512236151432
oct114364120375
928440506718
1010264551677
114398087666
121ba56b20a5
13c77756423
146d5349b89
154012189a2
hex263d0a0fd

10264551677 has 2 divisors, whose sum is σ = 10264551678. Its totient is φ = 10264551676.

The previous prime is 10264551673. The next prime is 10264551683. The reversal of 10264551677 is 77615546201.

10264551677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8050755076 + 2213796601 = 89726^2 + 47051^2 .

It is a cyclic number.

It is not a de Polignac number, because 10264551677 - 22 = 10264551673 is a prime.

It is a super-2 number, since 2×102645516772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10264551673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5132275838 + 5132275839.

It is an arithmetic number, because the mean of its divisors is an integer number (5132275839).

Almost surely, 210264551677 is an apocalyptic number.

It is an amenable number.

10264551677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10264551677 is an equidigital number, since it uses as much as digits as its factorization.

10264551677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 10264551677 in words is "ten billion, two hundred sixty-four million, five hundred fifty-one thousand, six hundred seventy-seven".