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23668056000 = 2632532711213
BaseRepresentation
bin10110000010101110…
…011101111111000000
32021002110121211010200
4112002232131333000
5341433010243000
614512320325200
71465342104501
oct260256357700
967073554120
1023668056000
11a046000866
124706473800
1323025c5784
14120750cba8
15937cc2500
hex582b9dfc0

23668056000 has 336 divisors, whose sum is σ = 85047051648. Its totient is φ = 6283008000.

The previous prime is 23668055977. The next prime is 23668056007. The reversal of 23668056000 is 65086632.

23668056000 is a `hidden beast` number, since 2 + 36 + 68 + 0 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23668056007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19511394 + ... + 19512606.

Almost surely, 223668056000 is an apocalyptic number.

23668056000 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 23668056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42523525824).

23668056000 is an abundant number, since it is smaller than the sum of its proper divisors (61378995648).

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

23668056000 is a wasteful number, since it uses less digits than its factorization.

23668056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23668056000 in words is "twenty-three billion, six hundred sixty-eight million, fifty-six thousand".