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23046750720 = 2933571923109
BaseRepresentation
bin10101011101101100…
…011000001000000000
32012111011112020112000
4111131230120020000
5334144432010340
614330523504000
71444056102030
oct253554301000
965434466460
1023046750720
119857320a24
124572388000
13223397a606
141188bbb8c0
158ed496d30
hex55db18200

23046750720 has 1280 divisors, whose sum is σ = 103707648000. Its totient is φ = 4729798656.

The previous prime is 23046750719. The next prime is 23046750731. The reversal of 23046750720 is 2705764032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 127 ways as a sum of consecutive naturals, for example, 211438026 + ... + 211438134.

It is an arithmetic number, because the mean of its divisors is an integer number (81021600).

Almost surely, 223046750720 is an apocalyptic number.

23046750720 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 23046750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51853824000).

23046750720 is an abundant number, since it is smaller than the sum of its proper divisors (80660897280).

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

23046750720 is a wasteful number, since it uses less digits than its factorization.

23046750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 23046750720 in words is "twenty-three billion, forty-six million, seven hundred fifty thousand, seven hundred twenty".