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20387886480 = 24325131727537
BaseRepresentation
bin10010111111001101…
…100111010110010000
31221121212101221110200
4102333031213112100
5313223244331410
613211023055200
71321142114163
oct227715472620
957555357420
1020387886480
118712480965
123b4ba41500
131bcbb67670
14db5a15ada
157e4d3a3c0
hex4bf367590

20387886480 has 360 divisors, whose sum is σ = 78339147432. Its totient is φ = 4722720768.

The previous prime is 20387886479. The next prime is 20387886499. The reversal of 20387886480 is 8468878302.

20387886480 is a `hidden beast` number, since 2 + 0 + 3 + 87 + 8 + 86 + 480 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3068273664 + 17319612816 = 55392^2 + 131604^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2701272 + ... + 2708808.

Almost surely, 220387886480 is an apocalyptic number.

20387886480 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 20387886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39169573716).

20387886480 is an abundant number, since it is smaller than the sum of its proper divisors (57951260952).

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

20387886480 is a wasteful number, since it uses less digits than its factorization.

20387886480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 20387886480 in words is "twenty billion, three hundred eighty-seven million, eight hundred eighty-six thousand, four hundred eighty".