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23123968000 = 2145371613
BaseRepresentation
bin10101100010010010…
…111100000000000000
32012200112211021201021
4111202102330000000
5334324213434000
614342322515224
71446014325220
oct254222740000
965615737637
1023123968000
119896971461
124594205b14
132246975203
14119515c080
1590514b11a
hex5624bc000

23123968000 has 240 divisors, whose sum is σ = 66001650624. Its totient is φ = 7923302400.

The previous prime is 23123967983. The next prime is 23123968013. The reversal of 23123968000 is 86932132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14335194 + ... + 14336806.

Almost surely, 223123968000 is an apocalyptic number.

23123968000 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 23123968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33000825312).

23123968000 is an abundant number, since it is smaller than the sum of its proper divisors (42877682624).

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

23123968000 is an frugal number, since it uses more digits than its factorization.

23123968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 23123968000 in words is "twenty-three billion, one hundred twenty-three million, nine hundred sixty-eight thousand".