Search a number
-
+
23565965696 = 277132198191
BaseRepresentation
bin10101111100101001…
…000001100110000000
32020211100112002120022
4111330221001212000
5341230341400241
614454232233012
71462662255230
oct257451014600
966740462508
1023565965696
119aa3411909
12469823b768
1322b73cc700
1411d7b35cc0
1592dd5854b
hex57ca41980

23565965696 has 192 divisors, whose sum is σ = 61164748800. Its totient is φ = 8831047680.

The previous prime is 23565965653. The next prime is 23565965699. The reversal of 23565965696 is 69656956532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23565965699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872961 + ... + 2881151.

It is an arithmetic number, because the mean of its divisors is an integer number (318566400).

Almost surely, 223565965696 is an apocalyptic number.

23565965696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23565965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30582374400).

23565965696 is an abundant number, since it is smaller than the sum of its proper divisors (37598783104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23565965696 is a wasteful number, since it uses less digits than its factorization.

23565965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8232 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 62.

The spelling of 23565965696 in words is "twenty-three billion, five hundred sixty-five million, nine hundred sixty-five thousand, six hundred ninety-six".