Search a number
-
+
5000151957120 = 2732519151302573
BaseRepresentation
bin100100011000011000001…
…0001111111111010000000
3122201000021012001100101200
41020300300101333322000
51123410302400111440
614345012121301200
71024151266242615
oct110606021777200
918630235040350
105000151957120
111658609476161
12689090934800
132a36876c9c18
14134019a2050c
158a0eac3ac30
hex48c3047fe80

5000151957120 has 384 divisors, whose sum is σ = 18295318454400. Its totient is φ = 1254826598400.

The previous prime is 5000151957077. The next prime is 5000151957187. The reversal of 5000151957120 is 217591510005.

5000151957120 is a `hidden beast` number, since 50 + 0 + 0 + 1 + 5 + 19 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16374154 + ... + 16676726.

It is an arithmetic number, because the mean of its divisors is an integer number (47644058475).

Almost surely, 25000151957120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000151957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147659227200).

5000151957120 is an abundant number, since it is smaller than the sum of its proper divisors (13295166497280).

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

5000151957120 is a wasteful number, since it uses less digits than its factorization.

5000151957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302768 (or 302753 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 36.

The spelling of 5000151957120 in words is "five trillion, one hundred fifty-one million, nine hundred fifty-seven thousand, one hundred twenty".