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23685012000 = 25325313217229
BaseRepresentation
bin10110000011101111…
…001001101000100000
32021010122112021101200
4112003233021220200
5342001330341000
614514124001200
71465636165056
oct260357115040
967118467350
1023685012000
11a054632091
124710090200
132305c81500
1412098841d6
15939521500
hex583bc9a20

23685012000 has 864 divisors, whose sum is σ = 96796561680. Its totient is φ = 5463244800.

The previous prime is 23685011971. The next prime is 23685012011. The reversal of 23685012000 is 21058632.

It can be written as a sum of positive squares in 24 ways, for example, as 7293843216 + 16391168784 = 85404^2 + 128028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103427886 + ... + 103428114.

Almost surely, 223685012000 is an apocalyptic number.

23685012000 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 23685012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48398280840).

23685012000 is an abundant number, since it is smaller than the sum of its proper divisors (73111549680).

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

23685012000 is a wasteful number, since it uses less digits than its factorization.

23685012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23685012000 in words is "twenty-three billion, six hundred eighty-five million, twelve thousand".