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23455837440 = 283957219
BaseRepresentation
bin10101110110000100…
…111010110100000000
32020112200022000000000
4111312010322310000
5341014143244230
614435300000000
71460154220500
oct256604726400
966480260000
1023455837440
119a47232922
124667390000
13229a650b69
1411c7269a00
15924352b60
hex57613ad00

23455837440 has 1080 divisors, whose sum is σ = 103193465760. Its totient is φ = 5079158784.

The previous prime is 23455837439. The next prime is 23455837451. The reversal of 23455837440 is 4473855432.

23455837440 is a `hidden beast` number, since 23 + 4 + 5 + 583 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1234517751 + ... + 1234517769.

Almost surely, 223455837440 is an apocalyptic number.

23455837440 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 23455837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51596732880).

23455837440 is an abundant number, since it is smaller than the sum of its proper divisors (79737628320).

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

23455837440 is an frugal number, since it uses more digits than its factorization.

23455837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 23455837440 in words is "twenty-three billion, four hundred fifty-five million, eight hundred thirty-seven thousand, four hundred forty".