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20216948640 = 2535729207481
BaseRepresentation
bin10010110101000001…
…100010011110100000
31221011221202101211120
4102311001202132200
5312401014324030
613142035212240
71313665141140
oct226501423640
957157671746
1020216948640
118634a38819
123b02747080
131ba2617505
14d9b03a920
157d4d22010
hex4b50627a0

20216948640 has 192 divisors, whose sum is σ = 75291068160. Its totient is φ = 4461649920.

The previous prime is 20216948639. The next prime is 20216948659. The reversal of 20216948640 is 4684961202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20216948592 and 20216948601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6301 + ... + 201180.

It is an arithmetic number, because the mean of its divisors is an integer number (392140980).

Almost surely, 220216948640 is an apocalyptic number.

20216948640 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 20216948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645534080).

20216948640 is an abundant number, since it is smaller than the sum of its proper divisors (55074119520).

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

20216948640 is a wasteful number, since it uses less digits than its factorization.

20216948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207535 (or 207527 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 20216948640 in words is "twenty billion, two hundred sixteen million, nine hundred forty-eight thousand, six hundred forty".