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23290375680 = 2932511137069
BaseRepresentation
bin10101101100001101…
…101110111000000000
32020010010221200010200
4111230031232320000
5340144314010210
614411025325200
71453104632625
oct255415567000
966103850120
1023290375680
11997189aa70
12461ba96800
13227229a3b0
1411ad2b834c
15914a6c0c0
hex56c36ee00

23290375680 has 480 divisors, whose sum is σ = 94776121440. Its totient is φ = 5211095040.

The previous prime is 23290375643. The next prime is 23290375697. The reversal of 23290375680 is 8657309232.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3291186 + ... + 3298254.

It is an arithmetic number, because the mean of its divisors is an integer number (197450253).

Almost surely, 223290375680 is an apocalyptic number.

23290375680 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 23290375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47388060720).

23290375680 is an abundant number, since it is smaller than the sum of its proper divisors (71485745760).

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

23290375680 is a wasteful number, since it uses less digits than its factorization.

23290375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 23290375680 in words is "twenty-three billion, two hundred ninety million, three hundred seventy-five thousand, six hundred eighty".