Search a number
-
+
9190331920 = 245711171931149
BaseRepresentation
bin10001000111100100…
…10101011000010000
3212201111020020022201
420203302111120100
5122310211110140
64115540412544
7443513350420
oct104362253020
925644206281
109190331920
113996780440
1219459a7154
13b36030b33
146327dc480
1538bc7649a
hex223c95610

9190331920 has 640 divisors, whose sum is σ = 30855168000. Its totient is φ = 2455142400.

The previous prime is 9190331873. The next prime is 9190331947. The reversal of 9190331920 is 291330919.

It is a self number, because there is not a number n which added to its sum of digits gives 9190331920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61680006 + ... + 61680154.

It is an arithmetic number, because the mean of its divisors is an integer number (48211200).

Almost surely, 29190331920 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 9190331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584000).

9190331920 is an abundant number, since it is smaller than the sum of its proper divisors (21664836080).

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

9190331920 is a wasteful number, since it uses less digits than its factorization.

9190331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 9190331920 is about 95866.2188677534. The cubic root of 9190331920 is about 2094.6448529625.

The spelling of 9190331920 in words is "nine billion, one hundred ninety million, three hundred thirty-one thousand, nine hundred twenty".