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23005855872 = 273543103167
BaseRepresentation
bin10101011011010000…
…011000000010000000
32012101022120120100000
4111123100120002000
5334103444341442
614322503200000
71443051356046
oct253320300200
965338516300
1023005855872
11983622a02a
124560746000
13222835c68c
1411835b4396
158e9ab9d4c
hex55b418080

23005855872 has 384 divisors, whose sum is σ = 71357045760. Its totient is φ = 7373140992.

The previous prime is 23005855867. The next prime is 23005855949. The reversal of 23005855872 is 27855850032.

23005855872 is a `hidden beast` number, since 23 + 0 + 0 + 5 + 8 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137759533 + ... + 137759699.

It is an arithmetic number, because the mean of its divisors is an integer number (185825640).

Almost surely, 223005855872 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 23005855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35678522880).

23005855872 is an abundant number, since it is smaller than the sum of its proper divisors (48351189888).

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

23005855872 is a wasteful number, since it uses less digits than its factorization.

23005855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 23005855872 in words is "twenty-three billion, five million, eight hundred fifty-five thousand, eight hundred seventy-two".