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23268919680 = 2733523127461
BaseRepresentation
bin10101101010111011…
…111000100110000000
32020001122120121001000
4111222323320212000
5340123320412210
614404541412000
71452424360656
oct255273704600
966048517030
1023268919680
119960775836
12461486a000
13226a9c7336
1411aa4d0dd6
15912c2eac0
hex56aef8980

23268919680 has 512 divisors, whose sum is σ = 86858956800. Its totient is φ = 5875752960.

The previous prime is 23268919651. The next prime is 23268919691. The reversal of 23268919680 is 8691986232.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50474650 + ... + 50475110.

It is an arithmetic number, because the mean of its divisors is an integer number (169646400).

Almost surely, 223268919680 is an apocalyptic number.

23268919680 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 23268919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43429478400).

23268919680 is an abundant number, since it is smaller than the sum of its proper divisors (63590037120).

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

23268919680 is a wasteful number, since it uses less digits than its factorization.

23268919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 23268919680 in words is "twenty-three billion, two hundred sixty-eight million, nine hundred nineteen thousand, six hundred eighty".