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20297424576 = 26311132194173
BaseRepresentation
bin10010111001110100…
…100001111011000000
31221101120012000001210
4102321310201323000
5313032120041301
613154032130120
71315663155642
oct227164417300
957346160053
1020297424576
118676404560
123b25696940
131bb61b3400
14da79c8892
157dbe1bad6
hex4b9d21ec0

20297424576 has 672 divisors, whose sum is σ = 69343706880. Its totient is φ = 5175705600.

The previous prime is 20297424541. The next prime is 20297424613. The reversal of 20297424576 is 67542479202.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278046876 + ... + 278046948.

It is an arithmetic number, because the mean of its divisors is an integer number (103190040).

Almost surely, 220297424576 is an apocalyptic number.

20297424576 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 20297424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34671853440).

20297424576 is an abundant number, since it is smaller than the sum of its proper divisors (49046282304).

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

20297424576 is a wasteful number, since it uses less digits than its factorization.

20297424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 20297424576 in words is "twenty billion, two hundred ninety-seven million, four hundred twenty-four thousand, five hundred seventy-six".