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23490560016 = 243272111719937
BaseRepresentation
bin10101111000001001…
…011000000000010000
32020122002122002102100
4111320021120000100
5341102040410031
614442540120400
71461055315500
oct257011300020
966562562370
1023490560016
119a64899470
124676b36100
1322a48ba571
1411cbb07a00
15927410de6
hex578258010

23490560016 has 720 divisors, whose sum is σ = 93082167360. Its totient is φ = 5434490880.

The previous prime is 23490560011. The next prime is 23490560017. The reversal of 23490560016 is 61006509432.

It is a happy number.

23490560016 is a `hidden beast` number, since 2 + 3 + 4 + 90 + 560 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23490560011) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 25069500 + ... + 25070436.

It is an arithmetic number, because the mean of its divisors is an integer number (129280788).

Almost surely, 223490560016 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 23490560016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46541083680).

23490560016 is an abundant number, since it is smaller than the sum of its proper divisors (69591607344).

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

23490560016 is a wasteful number, since it uses less digits than its factorization.

23490560016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23490560016 in words is "twenty-three billion, four hundred ninety million, five hundred sixty thousand, sixteen".