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20512926720 = 21032511213283
BaseRepresentation
bin10011000110101010…
…100110110000000000
31221221120200122102200
4103012222212300000
5314002302123340
613231251113200
71324221000036
oct230652466000
957846618380
1020512926720
118777015500
123b858a2800
131c1ba37780
14dc8484556
15800cd9330
hex4c6aa6c00

20512926720 has 792 divisors, whose sum is σ = 84432658128. Its totient is φ = 4574085120.

The previous prime is 20512926719. The next prime is 20512926739. The reversal of 20512926720 is 2762921502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72483699 + ... + 72483981.

Almost surely, 220512926720 is an apocalyptic number.

20512926720 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 20512926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42216329064).

20512926720 is an abundant number, since it is smaller than the sum of its proper divisors (63919731408).

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

20512926720 is a wasteful number, since it uses less digits than its factorization.

20512926720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20512926720 in words is "twenty billion, five hundred twelve million, nine hundred twenty-six thousand, seven hundred twenty".