Search a number
-
+
23655455455632 = 243711133779168433
BaseRepresentation
bin1010110000011101101110…
…00001001111100110010000
310002202102212100210212110020
411120032313001033212100
511100032333044040012
6122151055522503440
74661023144515150
oct530166701174620
9102672770725406
1023655455455632
1175a02499a9980
1227a0704204b80
1310279138296c0
145bad044a8760
152b04ecc0da8c
hex1583b704f990

23655455455632 has 640 divisors, whose sum is σ = 85334431580160. Its totient is φ = 5448465285120.

The previous prime is 23655455455613. The next prime is 23655455455649.

It is a happy number.

23655455455632 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140360088 + ... + 140528520.

It is an arithmetic number, because the mean of its divisors is an integer number (133335049344).

Almost surely, 223655455455632 is an apocalyptic number.

23655455455632 is a gapful number since it is divisible by the number (22) 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 23655455455632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42667215790080).

23655455455632 is an abundant number, since it is smaller than the sum of its proper divisors (61678976124528).

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

23655455455632 is a wasteful number, since it uses less digits than its factorization.

23655455455632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168591 (or 168585 counting only the distinct ones).

The product of its digits is 324000000, while the sum is 60.

The spelling of 23655455455632 in words is "twenty-three trillion, six hundred fifty-five billion, four hundred fifty-five million, four hundred fifty-five thousand, six hundred thirty-two".