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20023750656 = 2123271347127
BaseRepresentation
bin10010101001100000…
…100011000000000000
31220200111012221000200
4102221200203000000
5312002040010111
613110534245200
71306131033540
oct225140430000
956614187020
1020023750656
118545981268
123a69ab6800
131b715a2290
14d7d509320
157c2dad256
hex4a9823000

20023750656 has 624 divisors, whose sum is σ = 73273933824. Its totient is φ = 5127929856.

The previous prime is 20023750651. The next prime is 20023750667. The reversal of 20023750656 is 65605732002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20023750656.

It is not an unprimeable number, because it can be changed into a prime (20023750651) 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, 157667265 + ... + 157667391.

It is an arithmetic number, because the mean of its divisors is an integer number (117426176).

Almost surely, 220023750656 is an apocalyptic number.

20023750656 is a gapful number since it is divisible by the number (26) 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 20023750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36636966912).

20023750656 is an abundant number, since it is smaller than the sum of its proper divisors (53250183168).

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

20023750656 is a wasteful number, since it uses less digits than its factorization.

20023750656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 20023750656 in words is "twenty billion, twenty-three million, seven hundred fifty thousand, six hundred fifty-six".