Search a number
-
+
23117034663 = 331575453417
BaseRepresentation
bin10101100001111000…
…011111010010100111
32012200001210000222000
4111201320133102213
5334320430102123
614341514140343
71445601360342
oct254170372247
965601700860
1023117034663
119892a66328
124591a216b3
1322453b8448
141194275459
1590472bb43
hex561e1f4a7

23117034663 has 16 divisors (see below), whose sum is σ = 34465601760. Its totient is φ = 15313192128.

The previous prime is 23117034637. The next prime is 23117034679. The reversal of 23117034663 is 36643071132.

23117034663 is a `hidden beast` number, since 23 + 1 + 170 + 3 + 466 + 3 = 666.

It is not a de Polignac number, because 23117034663 - 26 = 23117034599 is a prime.

It is a super-2 number, since 2×231170346632 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23117034463) 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 15 ways as a sum of consecutive naturals, for example, 2722470 + ... + 2730947.

It is an arithmetic number, because the mean of its divisors is an integer number (2154100110).

Almost surely, 223117034663 is an apocalyptic number.

23117034663 is a deficient number, since it is larger than the sum of its proper divisors (11348567097).

23117034663 is a wasteful number, since it uses less digits than its factorization.

23117034663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453583 (or 5453577 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 23117034663 in words is "twenty-three billion, one hundred seventeen million, thirty-four thousand, six hundred sixty-three".

Divisors: 1 3 9 27 157 471 1413 4239 5453417 16360251 49080753 147242259 856186469 2568559407 7705678221 23117034663