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23149780992 = 21333138397
BaseRepresentation
bin10101100011110101…
…011010000000000000
32012202100101201111000
4111203311122000000
5334402320442432
614345044052000
71446446614602
oct254365320000
965670351430
1023149780992
1198aa4a2108
1245a0994000
13224c112480
14119875b172
1590754957c
hex563d5a000

23149780992 has 448 divisors, whose sum is σ = 75524319360. Its totient is φ = 6964641792.

The previous prime is 23149780931. The next prime is 23149781069. The reversal of 23149780992 is 29908794132.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238657488 + ... + 238657584.

It is an arithmetic number, because the mean of its divisors is an integer number (168581070).

Almost surely, 223149780992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23149780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37762159680).

23149780992 is an abundant number, since it is smaller than the sum of its proper divisors (52374538368).

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

23149780992 is an equidigital number, since it uses as much as digits as its factorization.

23149780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 23149780992 in words is "twenty-three billion, one hundred forty-nine million, seven hundred eighty thousand, nine hundred ninety-two".