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23094658440 = 23345721743199
BaseRepresentation
bin10101100000100011…
…001000010110001000
32012121111200012120000
4111200203020112020
5334244213032230
614335354403000
71445210233500
oct254043102610
965544605500
1023094658440
119881372787
124586430460
132240882589
1411912cca00
159027abb60
hex5608c8588

23094658440 has 960 divisors, whose sum is σ = 98323632000. Its totient is φ = 4828336128.

The previous prime is 23094658427. The next prime is 23094658459. The reversal of 23094658440 is 4485649032.

23094658440 is a `hidden beast` number, since 23 + 0 + 9 + 4 + 6 + 584 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 116053461 + ... + 116053659.

It is an arithmetic number, because the mean of its divisors is an integer number (102420450).

Almost surely, 223094658440 is an apocalyptic number.

23094658440 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 23094658440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49161816000).

23094658440 is an abundant number, since it is smaller than the sum of its proper divisors (75228973560).

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

23094658440 is a wasteful number, since it uses less digits than its factorization.

23094658440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23094658440 in words is "twenty-three billion, ninety-four million, six hundred fifty-eight thousand, four hundred forty".