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23012851680 = 2534571321979
BaseRepresentation
bin10101011011101011…
…000011111111100000
32012101210201222210000
4111123223003333200
5334112242223210
614323313140000
71443165004020
oct253353037740
965353658700
1023012851680
11983a178095
124562b5a600
13222993ba00
1411844b5a80
158ea4ecac0
hex55bac3fe0

23012851680 has 1440 divisors, whose sum is σ = 107136691200. Its totient is φ = 4541681664.

The previous prime is 23012851679. The next prime is 23012851751. The reversal of 23012851680 is 8615821032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 291301881 + ... + 291301959.

It is an arithmetic number, because the mean of its divisors is an integer number (74400480).

Almost surely, 223012851680 is an apocalyptic number.

23012851680 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 23012851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568345600).

23012851680 is an abundant number, since it is smaller than the sum of its proper divisors (84123839520).

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

23012851680 is a wasteful number, since it uses less digits than its factorization.

23012851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 23012851680 in words is "twenty-three billion, twelve million, eight hundred fifty-one thousand, six hundred eighty".