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20040490368 = 273329414877
BaseRepresentation
bin10010101010100000…
…011001110110000000
31220201122201101121000
4102222200121312000
5312020331142433
613112333132000
71306423233423
oct225240316600
956648641530
1020040490368
118554375038
123a7362a000
131b74bb3732
14d818259ba
157c45b8113
hex4aa819d80

20040490368 has 256 divisors, whose sum is σ = 62692056000. Its totient is φ = 6291210240.

The previous prime is 20040490333. The next prime is 20040490373. The reversal of 20040490368 is 86309404002.

It is a happy number.

20040490368 is a `hidden beast` number, since 200 + 4 + 0 + 4 + 90 + 368 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4106746 + ... + 4111622.

Almost surely, 220040490368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20040490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31346028000).

20040490368 is an abundant number, since it is smaller than the sum of its proper divisors (42651565632).

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

20040490368 is a wasteful number, since it uses less digits than its factorization.

20040490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20040490368 in words is "twenty billion, forty million, four hundred ninety thousand, three hundred sixty-eight".