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23029704000 = 263353106619
BaseRepresentation
bin10101011100101011…
…010110010101000000
32012102222110011211000
4111130223112111000
5334131101012000
614325114252000
71443461153112
oct253453262500
965388404730
1023029704000
119848738526
124568727000
13223028c4b4
1411868213b2
158ebc2b000
hex55cad6540

23029704000 has 224 divisors, whose sum is σ = 84494217600. Its totient is φ = 6141196800.

The previous prime is 23029703993. The next prime is 23029704011. The reversal of 23029704000 is 40792032.

23029704000 is a `hidden beast` number, since 230 + 29 + 7 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162691 + ... + 269309.

Almost surely, 223029704000 is an apocalyptic number.

23029704000 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 23029704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247108800).

23029704000 is an abundant number, since it is smaller than the sum of its proper divisors (61464513600).

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

23029704000 is a wasteful number, since it uses less digits than its factorization.

23029704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106655 (or 106629 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 23029704000 in words is "twenty-three billion, twenty-nine million, seven hundred four thousand".