Search a number
-
+
9152119872 = 2632761127293
BaseRepresentation
bin10001000011000001…
…00100010001000000
3212121211022212020200
420201200210101000
5122220420313442
64112053405200
7442540510140
oct104140442100
925554285220
109152119872
113977151135
121935039800
13b2b14205c
1462b6d2920
1538872934c
hex221824440

9152119872 has 336 divisors, whose sum is σ = 30816694272. Its totient is φ = 2543063040.

The previous prime is 9152119853. The next prime is 9152119883. The reversal of 9152119872 is 2789112519.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×91521198722 (a number of 21 digits) contains 22 as substring.

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, 31235758 + ... + 31236050.

It is an arithmetic number, because the mean of its divisors is an integer number (91716352).

Almost surely, 29152119872 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 9152119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408347136).

9152119872 is an abundant number, since it is smaller than the sum of its proper divisors (21664574400).

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

9152119872 is a wasteful number, since it uses less digits than its factorization.

9152119872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 9152119872 is about 95666.7124552736. The cubic root of 9152119872 is about 2091.7377450814.

The spelling of 9152119872 in words is "nine billion, one hundred fifty-two million, one hundred nineteen thousand, eight hundred seventy-two".