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9273138216 = 233532672053
BaseRepresentation
bin10001010001011100…
…01101110000101000
3212221021001020012120
420220232031300220
5122442410410331
64132055311240
7445540242246
oct105056156050
925837036176
109273138216
113a29498aa1
12196967b520
13b4a234644
1463d7d5796
15394181796
hex228b8dc28

9273138216 has 96 divisors (see below), whose sum is σ = 23992856160. Its totient is φ = 2986004736.

The previous prime is 9273138179. The next prime is 9273138227. The reversal of 9273138216 is 6128313729.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515846 + ... + 4517898.

It is an arithmetic number, because the mean of its divisors is an integer number (249925585).

Almost surely, 29273138216 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 9273138216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996428080).

9273138216 is an abundant number, since it is smaller than the sum of its proper divisors (14719717944).

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

9273138216 is a wasteful number, since it uses less digits than its factorization.

9273138216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2178 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 9273138216 is about 96297.1350352647. The cubic root of 9273138216 is about 2100.9170760959.

The spelling of 9273138216 in words is "nine billion, two hundred seventy-three million, one hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 159 201 212 268 318 402 424 536 636 804 1272 1608 2053 2809 3551 4106 5618 6159 7102 8212 8427 10653 11236 12318 14204 16424 16854 21306 22472 24636 28408 33708 42612 49272 67416 85224 108809 137551 188203 217618 275102 326427 376406 412653 435236 550204 564609 652854 752812 825306 870472 1100408 1129218 1305708 1505624 1650612 2258436 2611416 3301224 4516872 5766877 7290203 11533754 14580406 17300631 21870609 23067508 29160812 34601262 43741218 46135016 58321624 69202524 87482436 138405048 174964872 386380759 772761518 1159142277 1545523036 2318284554 3091046072 4636569108 9273138216