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20601079920 = 2434516719037
BaseRepresentation
bin10011001011111010…
…111000100001110000
31222011201120021220000
4103023322320201300
5314142334024140
613244120350000
71326341201331
oct231372704160
958151507800
1020601079920
118811855293
123bab315300
131c34090c25
14dd6070288
158088eda30
hex4cbeb8870

20601079920 has 200 divisors, whose sum is σ = 71982830304. Its totient is φ = 5460438528.

The previous prime is 20601079909. The next prime is 20601079931. The reversal of 20601079920 is 2997010602.

20601079920 is a `hidden beast` number, since 20 + 601 + 0 + 7 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20601079909) and next prime (20601079931).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1072642 + ... + 1091678.

Almost surely, 220601079920 is an apocalyptic number.

20601079920 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 20601079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35991415152).

20601079920 is an abundant number, since it is smaller than the sum of its proper divisors (51381750384).

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

20601079920 is a wasteful number, since it uses less digits than its factorization.

20601079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19229 (or 19214 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 20601079920 in words is "twenty billion, six hundred one million, seventy-nine thousand, nine hundred twenty".