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23088518128 = 2413892514969
BaseRepresentation
bin10101100000001011…
…101101001111110000
32012121002010020122001
4111200023231033300
5334241130040003
614335015023344
71445104110634
oct254013551760
965532106561
1023088518128
119878959445
12458436ab54
13223c512760
141190570dc4
15901e9761d
hex5602ed3f0

23088518128 has 80 divisors (see below), whose sum is σ = 48920306400. Its totient is φ = 10492416000.

The previous prime is 23088518081. The next prime is 23088518129. The reversal of 23088518128 is 82181588032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23088518129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644028 + ... + 4648996.

It is an arithmetic number, because the mean of its divisors is an integer number (611503830).

Almost surely, 223088518128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23088518128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24460153200).

23088518128 is an abundant number, since it is smaller than the sum of its proper divisors (25831788272).

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

23088518128 is a wasteful number, since it uses less digits than its factorization.

23088518128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 46.

The spelling of 23088518128 in words is "twenty-three billion, eighty-eight million, five hundred eighteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 251 356 502 712 1004 1157 1424 2008 2314 3263 4016 4628 4969 6526 9256 9938 13052 18512 19876 22339 26104 39752 44678 52208 64597 79504 89356 129194 178712 258388 290407 357424 442241 516776 580814 884482 1033552 1161628 1247219 1768964 2323256 2494438 3537928 4646512 4988876 5749133 7075856 9977752 11498266 16213847 19955504 22996532 32427694 45993064 64855388 91986128 111002491 129710776 222004982 259421552 444009964 888019928 1443032383 1776039856 2886064766 5772129532 11544259064 23088518128