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23679114679 = 1131151577797
BaseRepresentation
bin10110000011011000…
…101001110110110111
32021010020102122210101
4112003120221312313
5341443323132204
614513353334531
71465535103523
oct260330516667
967106378711
1023679114679
11a051274370
12470a107447
13230499817c
141208b8ad83
15938c58ea4
hex583629db7

23679114679 has 32 divisors (see below), whose sum is σ = 26921889792. Its totient is φ = 20632320000.

The previous prime is 23679114673. The next prime is 23679114707. The reversal of 23679114679 is 97641197632.

It is a cyclic number.

It is not a de Polignac number, because 23679114679 - 219 = 23678590391 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23679114673) 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 31 ways as a sum of consecutive naturals, for example, 29709909 + ... + 29710705.

It is an arithmetic number, because the mean of its divisors is an integer number (841309056).

Almost surely, 223679114679 is an apocalyptic number.

23679114679 is a deficient number, since it is larger than the sum of its proper divisors (3242775113).

23679114679 is a wasteful number, since it uses less digits than its factorization.

23679114679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567.

The product of its digits is 3429216, while the sum is 55.

The spelling of 23679114679 in words is "twenty-three billion, six hundred seventy-nine million, one hundred fourteen thousand, six hundred seventy-nine".

Divisors: 1 11 31 151 341 577 797 1661 4681 6347 8767 17887 24707 51491 87127 120347 196757 271777 459869 958397 1323817 2700937 3730757 5058559 14255939 29710307 41038327 69440219 156815329 763842409 2152646789 23679114679