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23040585216 = 293311277547
BaseRepresentation
bin10101011101010100…
…110110111000000000
32012110201221000001000
4111131110312320000
5334141342211331
614330143412000
71443652512555
oct253524667000
965421830030
1023040585216
11985389a770
1245702b4000
1322325cc19c
141188054a2c
158ecb7a0e6
hex55d536e00

23040585216 has 320 divisors, whose sum is σ = 74806997760. Its totient is φ = 6944071680.

The previous prime is 23040585151. The next prime is 23040585223. The reversal of 23040585216 is 61258504032.

23040585216 is a `hidden beast` number, since 2 + 30 + 40 + 585 + 2 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42121455 + ... + 42122001.

It is an arithmetic number, because the mean of its divisors is an integer number (233771868).

Almost surely, 223040585216 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 23040585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403498880).

23040585216 is an abundant number, since it is smaller than the sum of its proper divisors (51766412544).

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

23040585216 is a wasteful number, since it uses less digits than its factorization.

23040585216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 23040585216 in words is "twenty-three billion, forty million, five hundred eighty-five thousand, two hundred sixteen".