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10681510977 = 324725251799
BaseRepresentation
bin10011111001010101…
…01110110001000001
31000120102010222102200
421330222232301001
5133333431322402
64523525503413
7525461226264
oct117452566101
930512128380
1010681510977
114591486325
1220a1271b69
131012c550c7
14734886cdb
15427b2c21c
hex27caaec41

10681510977 has 12 divisors (see below), whose sum is σ = 15757123200. Its totient is φ = 6969496248.

The previous prime is 10681510909. The next prime is 10681510999. The reversal of 10681510977 is 77901518601.

10681510977 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 510 + 9 + 77 = 666.

10681510977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10681510977 - 219 = 10680986689 is a prime.

It is a super-2 number, since 2×106815109772 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681580977) 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 in 11 ways as a sum of consecutive naturals, for example, 12625477 + ... + 12626322.

It is an arithmetic number, because the mean of its divisors is an integer number (1313093600).

Almost surely, 210681510977 is an apocalyptic number.

It is an amenable number.

10681510977 is a deficient number, since it is larger than the sum of its proper divisors (5075612223).

10681510977 is a wasteful number, since it uses less digits than its factorization.

10681510977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25251852 (or 25251849 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 10681510977 in words is "ten billion, six hundred eighty-one million, five hundred ten thousand, nine hundred seventy-seven".

Divisors: 1 3 9 47 141 423 25251799 75755397 227266191 1186834553 3560503659 10681510977