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23656320000 = 2103354372
BaseRepresentation
bin10110000010000001…
…101100110000000000
32021001122112120101000
4112002001230300000
5341422004220000
614511221012000
71465140254655
oct260201546000
967048476330
1023656320000
11a03a415395
124702554000
1323000469b1
141205b35c2c
15936c55000
hex58206cc00

23656320000 has 660 divisors, whose sum is σ = 89975229960. Its totient is φ = 6137856000.

The previous prime is 23656319989. The next prime is 23656320013. The reversal of 23656320000 is 2365632.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23656320000 is a `hidden beast` number, since 2 + 3 + 656 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 639359982 + ... + 639360018.

It is an arithmetic number, because the mean of its divisors is an integer number (136326106).

Almost surely, 223656320000 is an apocalyptic number.

23656320000 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 23656320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44987614980).

23656320000 is an abundant number, since it is smaller than the sum of its proper divisors (66318909960).

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

23656320000 is an frugal number, since it uses more digits than its factorization.

23656320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Multiplying 23656320000 by its sum of digits (27), we get a square (638720640000 = 7992002).

23656320000 divided by its sum of digits (27) gives a square (876160000 = 296002).

Adding to 23656320000 its reverse (2365632), we get a palindrome (23658685632).

23656320000 divided by its reverse (2365632) gives a 4-th power (10000 = 104).

The spelling of 23656320000 in words is "twenty-three billion, six hundred fifty-six million, three hundred twenty thousand".