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20915496000 = 26355372953
BaseRepresentation
bin10011011110101010…
…010010010001000000
31222222122012021200000
4103132222102101000
5320313331333000
613335231400000
71340206532310
oct233652222100
958878167600
1020915496000
118963285793
124078683000
131c84268649
141025b17440
15826309000
hex4dea92440

20915496000 has 1344 divisors, whose sum is σ = 93461921280. Its totient is φ = 4528742400.

The previous prime is 20915495999. The next prime is 20915496031. The reversal of 20915496000 is 69451902.

20915496000 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 5 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 394631974 + ... + 394632026.

It is an arithmetic number, because the mean of its divisors is an integer number (69540120).

Almost surely, 220915496000 is an apocalyptic number.

20915496000 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 20915496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46730960640).

20915496000 is an abundant number, since it is smaller than the sum of its proper divisors (72546425280).

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

20915496000 is an equidigital number, since it uses as much as digits as its factorization.

20915496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20915496000 in words is "twenty billion, nine hundred fifteen million, four hundred ninety-six thousand".