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20090337120 = 2533572107887
BaseRepresentation
bin10010101101011110…
…100011011101100000
31220212010111212111000
4102231132203131200
5312121111241440
613121313352000
71310600022300
oct225536433540
956763455430
1020090337120
11857a5206a7
123a88268600
131b82317159
14d882bd600
157c8b62730
hex4ad7a3760

20090337120 has 576 divisors, whose sum is σ = 82653903360. Its totient is φ = 4544031744.

The previous prime is 20090337119. The next prime is 20090337131. The reversal of 20090337120 is 2173309002.

20090337120 is a `hidden beast` number, since 200 + 9 + 0 + 337 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22649317 + ... + 22650203.

It is an arithmetic number, because the mean of its divisors is an integer number (143496360).

Almost surely, 220090337120 is an apocalyptic number.

20090337120 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 20090337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41326951680).

20090337120 is an abundant number, since it is smaller than the sum of its proper divisors (62563566240).

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

20090337120 is a wasteful number, since it uses less digits than its factorization.

20090337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 20090337120 in words is "twenty billion, ninety million, three hundred thirty-seven thousand, one hundred twenty".