Search a number
-
+
23058322560 = 2732571343991
BaseRepresentation
bin10101011110011000…
…100001010010000000
32012111222022011002200
4111132120201102000
5334210412310220
614332015513200
71444256336130
oct253630412200
965458264080
1023058322560
119862905029
124576228800
13223619c760
14118a550ac0
158ee4d0890
hex55e621480

23058322560 has 384 divisors, whose sum is σ = 98000098560. Its totient is φ = 4864942080.

The previous prime is 23058322519. The next prime is 23058322571. The reversal of 23058322560 is 6522385032.

23058322560 is a `hidden beast` number, since 2 + 3 + 0 + 583 + 22 + 56 + 0 = 666.

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

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

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, 502165 + ... + 546155.

It is an arithmetic number, because the mean of its divisors is an integer number (255208590).

Almost surely, 223058322560 is an apocalyptic number.

23058322560 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 23058322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49000049280).

23058322560 is an abundant number, since it is smaller than the sum of its proper divisors (74941776000).

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

23058322560 is a wasteful number, since it uses less digits than its factorization.

23058322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44036 (or 44021 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23058322560 in words is "twenty-three billion, fifty-eight million, three hundred twenty-two thousand, five hundred sixty".