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23026994928000 = 2735537331557
BaseRepresentation
bin1010011110001011000111…
…10110100101100110000000
310000112100200212110012200000
411033011203312211212000
511004233241200144000
6120550242212400000
74564434254256000
oct517054366454600
9100470625405600
1023026994928000
11737876a362768
1226ba952016000
13cb05897399cb
14598726436000
1529deb94ac000
hex14f163da5980

23026994928000 has 3072 divisors, whose sum is σ = 103421380608000. Its totient is φ = 5084384256000.

The previous prime is 23026994927917. The next prime is 23026994928017. The reversal of 23026994928000 is 82949962032.

23026994928000 is a `hidden beast` number, since 230 + 2 + 6 + 99 + 49 + 280 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41341103722 + ... + 41341104278.

It is an arithmetic number, because the mean of its divisors is an integer number (33665814000).

Almost surely, 223026994928000 is an apocalyptic number.

23026994928000 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 23026994928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710690304000).

23026994928000 is an abundant number, since it is smaller than the sum of its proper divisors (80394385680000).

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

23026994928000 is an frugal number, since it uses more digits than its factorization.

23026994928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 23026994928000 in words is "twenty-three trillion, twenty-six billion, nine hundred ninety-four million, nine hundred twenty-eight thousand".