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23081324544 = 2123473953
BaseRepresentation
bin10101011111110000…
…010001000000000000
32012120120120202220000
4111133300101000000
5334232304341134
614334200520000
71444656010245
oct253760210000
965516522800
1023081324544
119874895833
124581a80000
13223ab943b5
14118d61b5cc
15901525e99
hex55fc11000

23081324544 has 260 divisors, whose sum is σ = 69968472156. Its totient is φ = 7580418048.

The previous prime is 23081324543. The next prime is 23081324561. The reversal of 23081324544 is 44542318032.

23081324544 is a `hidden beast` number, since 2 + 3 + 0 + 81 + 32 + 4 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11355033600 + 11726290944 = 106560^2 + 108288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23081324499 and 23081324508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23081324543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24219172 + ... + 24220124.

Almost surely, 223081324544 is an apocalyptic number.

23081324544 is a gapful number since it is divisible by the number (24) 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 23081324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34984236078).

23081324544 is an abundant number, since it is smaller than the sum of its proper divisors (46887147612).

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

23081324544 is an frugal number, since it uses more digits than its factorization.

23081324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23081324544 in words is "twenty-three billion, eighty-one million, three hundred twenty-four thousand, five hundred forty-four".