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23805078147 = 331914616071
BaseRepresentation
bin10110001010111001…
…001010101010000011
32021110000110021012000
4112022321022222003
5342223100000042
614534053235043
71501624553124
oct261271125203
967400407160
1023805078147
11a106389604
124744332a83
132324acc576
14121b7ba04b
15944d3b74c
hex58ae4aa83

23805078147 has 16 divisors (see below), whose sum is σ = 35451432960. Its totient is φ = 15786959400.

The previous prime is 23805078109. The next prime is 23805078149. The reversal of 23805078147 is 74187050832.

23805078147 is a `hidden beast` number, since 23 + 8 + 0 + 507 + 81 + 47 = 666.

It is not a de Polignac number, because 23805078147 - 219 = 23804553859 is a prime.

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 not an unprimeable number, because it can be changed into a prime (23805078149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2302879 + ... + 2313192.

It is an arithmetic number, because the mean of its divisors is an integer number (2215714560).

Almost surely, 223805078147 is an apocalyptic number.

23805078147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

23805078147 is a deficient number, since it is larger than the sum of its proper divisors (11646354813).

23805078147 is a wasteful number, since it uses less digits than its factorization.

23805078147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616271 (or 4616265 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 23805078147 in words is "twenty-three billion, eight hundred five million, seventy-eight thousand, one hundred forty-seven".

Divisors: 1 3 9 27 191 573 1719 5157 4616071 13848213 41544639 124633917 881669561 2645008683 7935026049 23805078147