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20085636480 = 2735713237239
BaseRepresentation
bin10010101101001100…
…100111110110000000
31220211210200001102020
4102231030213312000
5312113410331410
613121024521440
71310512043640
oct225514476600
956753601366
1020085636480
1185778aaa78
123a86780280
131b8135c700
14d87818520
157c8534a70
hex4ad327d80

20085636480 has 768 divisors, whose sum is σ = 81712281600. Its totient is φ = 4106059776.

The previous prime is 20085636463. The next prime is 20085636491. The reversal of 20085636480 is 8463658002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84040201 + ... + 84040439.

It is an arithmetic number, because the mean of its divisors is an integer number (106396200).

Almost surely, 220085636480 is an apocalyptic number.

20085636480 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 20085636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40856140800).

20085636480 is an abundant number, since it is smaller than the sum of its proper divisors (61626645120).

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

20085636480 is a wasteful number, since it uses less digits than its factorization.

20085636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 20085636480 in words is "twenty billion, eighty-five million, six hundred thirty-six thousand, four hundred eighty".