Search a number
-
+
20715549120 = 2634572931127
BaseRepresentation
bin10011010010101111…
…100011000111000000
31222110200221221010000
4103102233203013000
5314411140032440
613303330040000
71332231155640
oct232257430700
958420857100
1020715549120
118870429732
124021719000
131c519cc596
14100734a520
158139b0730
hex4d2be31c0

20715549120 has 1120 divisors, whose sum is σ = 90638254080. Its totient is φ = 4389396480.

The previous prime is 20715549073. The next prime is 20715549137. The reversal of 20715549120 is 2194551702.

20715549120 is a `hidden beast` number, since 20 + 71 + 5 + 549 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 163114497 + ... + 163114623.

Almost surely, 220715549120 is an apocalyptic number.

20715549120 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 20715549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45319127040).

20715549120 is an abundant number, since it is smaller than the sum of its proper divisors (69922704960).

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

20715549120 is a wasteful number, since it uses less digits than its factorization.

20715549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 20715549120 in words is "twenty billion, seven hundred fifteen million, five hundred forty-nine thousand, one hundred twenty".