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23306976000 = 2832537111051
BaseRepresentation
bin10101101101001101…
…000011101100000000
32020011022012001111100
4111231031003230000
5340213041213000
614412421214400
71453366012230
oct255515035400
966138161440
1023306976000
1199801a9040
124625561400
132275860279
1411b1599cc0
1591624aa00
hex56d343b00

23306976000 has 864 divisors, whose sum is σ = 104658817536. Its totient is φ = 4838400000.

The previous prime is 23306975987. The next prime is 23306976001. The reversal of 23306976000 is 67960332.

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

It is not an unprimeable number, because it can be changed into a prime (23306976001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22175475 + ... + 22176525.

Almost surely, 223306976000 is an apocalyptic number.

23306976000 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 23306976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52329408768).

23306976000 is an abundant number, since it is smaller than the sum of its proper divisors (81351841536).

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

23306976000 is a wasteful number, since it uses less digits than its factorization.

23306976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 23306976000 in words is "twenty-three billion, three hundred six million, nine hundred seventy-six thousand".