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23379535872 = 2113371117219
BaseRepresentation
bin10101110001100001…
…110110100000000000
32020100100201110221000
4111301201312200000
5340340130121442
614423532332000
71455236530110
oct256141664000
966310643830
1023379535872
119a08158380
124645914000
1322878b6cc4
1411bb087040
1591c7ced4c
hex571876800

23379535872 has 1152 divisors, whose sum is σ = 96550272000. Its totient is φ = 5414584320.

The previous prime is 23379535867. The next prime is 23379535873. The reversal of 23379535872 is 27853597332.

23379535872 is a `hidden beast` number, since 2 + 3 + 3 + 7 + 9 + 53 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (23379535873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1230501879 + ... + 1230501897.

It is an arithmetic number, because the mean of its divisors is an integer number (83811000).

Almost surely, 223379535872 is an apocalyptic number.

23379535872 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 23379535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48275136000).

23379535872 is an abundant number, since it is smaller than the sum of its proper divisors (73170736128).

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

23379535872 is a wasteful number, since it uses less digits than its factorization.

23379535872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 23379535872 in words is "twenty-three billion, three hundred seventy-nine million, five hundred thirty-five thousand, eight hundred seventy-two".