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20428402368 = 2631119541941
BaseRepresentation
bin10011000001101000…
…001010111011000000
31221201200122100211010
4103001220022323000
5313314132333433
613215031320520
71322143361253
oct230150127300
957650570733
1020428402368
118733334070
123b61520140
131c07381c6a
14dbb16109a
157e868ee63
hex4c1a0aec0

20428402368 has 224 divisors, whose sum is σ = 62247962880. Its totient is φ = 5847552000.

The previous prime is 20428402363. The next prime is 20428402399. The reversal of 20428402368 is 86320482402.

It is not an unprimeable number, because it can be changed into a prime (20428402363) by changing a digit.

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, 21708778 + ... + 21709718.

Almost surely, 220428402368 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 20428402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31123981440).

20428402368 is an abundant number, since it is smaller than the sum of its proper divisors (41819560512).

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

20428402368 is a wasteful number, since it uses less digits than its factorization.

20428402368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 20428402368 in words is "twenty billion, four hundred twenty-eight million, four hundred two thousand, three hundred sixty-eight".