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20196789480 = 2335571719919
BaseRepresentation
bin10010110011110100…
…101000110011101000
31221010112211012200000
4102303310220303220
5312330334230410
613140035143000
71313331610110
oct226364506350
957115735600
1020196789480
11862461995a
123ab7a44a60
131b9b3a980a
14d984b0040
157d318ddc0
hex4b3d28ce8

20196789480 has 768 divisors, whose sum is σ = 86800896000. Its totient is φ = 4111699968.

The previous prime is 20196789467. The next prime is 20196789511. The reversal of 20196789480 is 8498769102.

20196789480 is a `hidden beast` number, since 2 + 0 + 1 + 96 + 78 + 9 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21976461 + ... + 21977379.

It is an arithmetic number, because the mean of its divisors is an integer number (113022000).

Almost surely, 220196789480 is an apocalyptic number.

20196789480 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 20196789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43400448000).

20196789480 is an abundant number, since it is smaller than the sum of its proper divisors (66604106520).

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

20196789480 is a wasteful number, since it uses less digits than its factorization.

20196789480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 20196789480 in words is "twenty billion, one hundred ninety-six million, seven hundred eighty-nine thousand, four hundred eighty".