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20236608000 = 29335372239
BaseRepresentation
bin10010110110001100…
…100010001000000000
31221020022202012102000
4102312030202020000
5312421032424000
613144020424000
71314324221100
oct226614421000
957208665360
1020236608000
118645046124
123b09248000
131ba670b87b
14d9d8b7200
157d6907000
hex4b6322200

20236608000 has 960 divisors, whose sum is σ = 87326553600. Its totient is φ = 4606156800.

The previous prime is 20236607999. The next prime is 20236608037. The reversal of 20236608000 is 80663202.

20236608000 is a `hidden beast` number, since 20 + 2 + 36 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84671881 + ... + 84672119.

It is an arithmetic number, because the mean of its divisors is an integer number (90965160).

Almost surely, 220236608000 is an apocalyptic number.

20236608000 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 20236608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43663276800).

20236608000 is an abundant number, since it is smaller than the sum of its proper divisors (67089945600).

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

20236608000 is an equidigital number, since it uses as much as digits as its factorization.

20236608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20236608000 in words is "twenty billion, two hundred thirty-six million, six hundred eight thousand".