Search a number
-
+
9137403264 = 273113122251
BaseRepresentation
bin10001000001010000…
…11011010110000000
3212120210122011212010
420200220123112000
5122203133401024
64110410132520
7442301434443
oct104050332600
925523564763
109137403264
11396990a350
121930121140
13b2808b6c2
1462978165a
153872bdb29
hex220a1b580

9137403264 has 192 divisors, whose sum is σ = 27371528640. Its totient is φ = 2678400000.

The previous prime is 9137403263. The next prime is 9137403299. The reversal of 9137403264 is 4623047319.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9137403263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4058139 + ... + 4060389.

It is an arithmetic number, because the mean of its divisors is an integer number (142560045).

Almost surely, 29137403264 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 9137403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685764320).

9137403264 is an abundant number, since it is smaller than the sum of its proper divisors (18234125376).

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

9137403264 is a wasteful number, since it uses less digits than its factorization.

9137403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 9137403264 is about 95589.7654772727. The cubic root of 9137403264 is about 2090.6159722222.

The spelling of 9137403264 in words is "nine billion, one hundred thirty-seven million, four hundred three thousand, two hundred sixty-four".