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23263081677 = 3211234980623
BaseRepresentation
bin10101101010100101…
…100111010011001101
32020001020120222210200
4111222211213103031
5340120322103202
614404212324113
71452323634363
oct255245472315
966036528720
1023263081677
119958448640
124612913639
132269731cb4
1411a9811633
15912479e1c
hex56a9674cd

23263081677 has 12 divisors (see below), whose sum is σ = 36656977344. Its totient is φ = 14098837320.

The previous prime is 23263081663. The next prime is 23263081703. The reversal of 23263081677 is 77618036232.

23263081677 is a `hidden beast` number, since 2 + 3 + 2 + 630 + 8 + 1 + 6 + 7 + 7 = 666.

It is not a de Polignac number, because 23263081677 - 27 = 23263081549 is a prime.

It is a super-2 number, since 2×232630816772 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23263081637) 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 11 ways as a sum of consecutive naturals, for example, 117490213 + ... + 117490410.

It is an arithmetic number, because the mean of its divisors is an integer number (3054748112).

Almost surely, 223263081677 is an apocalyptic number.

It is an amenable number.

23263081677 is a deficient number, since it is larger than the sum of its proper divisors (13393895667).

23263081677 is a wasteful number, since it uses less digits than its factorization.

23263081677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234980640 (or 234980637 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 23263081677 in words is "twenty-three billion, two hundred sixty-three million, eighty-one thousand, six hundred seventy-seven".

Divisors: 1 3 9 11 33 99 234980623 704941869 2114825607 2584786853 7754360559 23263081677