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20297020800 = 27352717109163
BaseRepresentation
bin10010111001110010…
…111111010110000000
31221101112102111012010
4102321302333112000
5313032014131200
613154015332520
71315656554520
oct227162772600
957345374163
1020297020800
118676159161
123b25521140
131bb60a16a4
14da7921680
157dbd8c150
hex4b9cbf580

20297020800 has 768 divisors, whose sum is σ = 82141171200. Its totient is φ = 4299816960.

The previous prime is 20297020739. The next prime is 20297020831. The reversal of 20297020800 is 802079202.

It is a super-3 number, since 3×202970208003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 124521519 + ... + 124521681.

It is an arithmetic number, because the mean of its divisors is an integer number (106954650).

Almost surely, 220297020800 is an apocalyptic number.

20297020800 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 20297020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41070585600).

20297020800 is an abundant number, since it is smaller than the sum of its proper divisors (61844150400).

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

20297020800 is a wasteful number, since it uses less digits than its factorization.

20297020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 20297020800 in words is "twenty billion, two hundred ninety-seven million, twenty thousand, eight hundred".