Search a number
-
+
9189014072 = 2375327711177
BaseRepresentation
bin10001000111011010…
…10011101000111000
3212201101202021120112
420203231103220320
5122304341422242
64115452243452
7443466221330
oct104355235070
925641667515
109189014072
113995a60307
121945470588
13b3598c044
146325780c0
1538bab5c82
hex223b53a38

9189014072 has 64 divisors (see below), whose sum is σ = 20136496320. Its totient is φ = 3849550848.

The previous prime is 9189014057. The next prime is 9189014083. The reversal of 9189014072 is 2704109819.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816548 + ... + 827724.

It is an arithmetic number, because the mean of its divisors is an integer number (314632755).

Almost surely, 29189014072 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 9189014072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10068248160).

9189014072 is an abundant number, since it is smaller than the sum of its proper divisors (10947482248).

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

9189014072 is a wasteful number, since it uses less digits than its factorization.

9189014072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 9189014072 is about 95859.3452512586. The cubic root of 9189014072 is about 2094.5447276167.

The spelling of 9189014072 in words is "nine billion, one hundred eighty-nine million, fourteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 277 371 424 554 742 1108 1484 1939 2216 2968 3878 7756 11177 14681 15512 22354 29362 44708 58724 78239 89416 102767 117448 156478 205534 312956 411068 592381 625912 822136 1184762 2369524 3096029 4146667 4739048 6192058 8293334 12384116 16586668 21672203 24768232 33173336 43344406 86688812 164089537 173377624 328179074 656358148 1148626759 1312716296 2297253518 4594507036 9189014072