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23342376960 = 211335721723
BaseRepresentation
bin10101101111010100…
…000110100000000000
32020020202210121111000
4111233110012200000
5340301122030320
614420124052000
71454305634100
oct255724064000
966222717430
1023342376960
119999188331
124635394000
13227cca6696
1411b6173200
159193dec90
hex56f506800

23342376960 has 576 divisors, whose sum is σ = 96577790400. Its totient is φ = 5332303872.

The previous prime is 23342376929. The next prime is 23342377001. The reversal of 23342376960 is 6967324332.

23342376960 is a `hidden beast` number, since 233 + 42 + 376 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13546659 + ... + 13548381.

It is an arithmetic number, because the mean of its divisors is an integer number (167669775).

Almost surely, 223342376960 is an apocalyptic number.

23342376960 is a gapful number since it is divisible by the number (20) 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 23342376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48288895200).

23342376960 is an abundant number, since it is smaller than the sum of its proper divisors (73235413440).

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

23342376960 is a wasteful number, since it uses less digits than its factorization.

23342376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 23342376960 in words is "twenty-three billion, three hundred forty-two million, three hundred seventy-six thousand, nine hundred sixty".