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20081993580 = 223351117712801
BaseRepresentation
bin10010101100111110…
…101110011101101100
31220211112210222022000
4102230332232131230
5312111442243310
613120414452300
71310436062145
oct225476563554
956745728260
1020081993580
118575842010
123a85504090
131b8068554c
14d8714aacc
157c80654c0
hex4acfae76c

20081993580 has 384 divisors, whose sum is σ = 73208862720. Its totient is φ = 4515840000.

The previous prime is 20081993579. The next prime is 20081993587. The reversal of 20081993580 is 8539918002.

It is a happy number.

20081993580 is a `hidden beast` number, since 200 + 8 + 1 + 99 + 358 + 0 = 666.

It is a super-2 number, since 2×200819935802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20081993587) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7168180 + ... + 7170980.

It is an arithmetic number, because the mean of its divisors is an integer number (190648080).

Almost surely, 220081993580 is an apocalyptic number.

20081993580 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 20081993580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604431360).

20081993580 is an abundant number, since it is smaller than the sum of its proper divisors (53126869140).

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

20081993580 is a wasteful number, since it uses less digits than its factorization.

20081993580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 20081993580 in words is "twenty billion, eighty-one million, nine hundred ninety-three thousand, five hundred eighty".