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3816898560 = 21432531167
BaseRepresentation
bin1110001110000001…
…0100000000000000
3100212000011112111100
43203200110000000
530304111223220
61430425214400
7163405050066
oct34340240000
910760145440
103816898560
1116895a3422
128a6331400
1348aa02c77
14282cd0036
15175157d90
hexe3814000

3816898560 has 360 divisors, whose sum is σ = 13740120576. Its totient is φ = 979107840.

The previous prime is 3816898489. The next prime is 3816898573. The reversal of 3816898560 is 658986183.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 3816898497 and 3816898506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22855597 + ... + 22855763.

Almost surely, 23816898560 is an apocalyptic number.

3816898560 is a gapful number since it is divisible by the number (30) 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 3816898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870060288).

3816898560 is an abundant number, since it is smaller than the sum of its proper divisors (9923222016).

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

3816898560 is a wasteful number, since it uses less digits than its factorization.

3816898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3816898560 is about 61781.0534063640. The cubic root of 3816898560 is about 1562.8004922658.

The spelling of 3816898560 in words is "three billion, eight hundred sixteen million, eight hundred ninety-eight thousand, five hundred sixty".