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2133738216 = 233241577129
BaseRepresentation
bin111111100101110…
…0100001011101000
312111201000010120100
41333023210023220
513332214110331
6551421225400
7103606322061
oct17713441350
95451003510
102133738216
119a5492115
124b6702260
132800a14bc
1416354d568
15c74cdae6
hex7f2e42e8

2133738216 has 48 divisors (see below), whose sum is σ = 5781075300. Its totient is φ = 710975232.

The previous prime is 2133738203. The next prime is 2133738241. The reversal of 2133738216 is 6128373312.

It can be written as a sum of positive squares in 2 ways, for example, as 2129453316 + 4284900 = 46146^2 + 2070^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295740 + ... + 302868.

Almost surely, 22133738216 is an apocalyptic number.

It is an amenable number.

2133738216 is an abundant number, since it is smaller than the sum of its proper divisors (3647337084).

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

2133738216 is a wasteful number, since it uses less digits than its factorization.

2133738216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11291 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2133738216 is about 46192.4043106656. The cubic root of 2133738216 is about 1287.4006138886.

The spelling of 2133738216 in words is "two billion, one hundred thirty-three million, seven hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4157 7129 8314 12471 14258 16628 21387 24942 28516 33256 37413 42774 49884 57032 64161 74826 85548 99768 128322 149652 171096 256644 299304 513288 29635253 59270506 88905759 118541012 177811518 237082024 266717277 355623036 533434554 711246072 1066869108 2133738216