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2263827467016 = 2332291084208557
BaseRepresentation
bin100000111100010110101…
…000011100101100001000
322000102100000202210220100
4200330112220130230020
5244042304312421031
64451553223125400
7322361516654523
oct40742650345410
98012300683810
102263827467016
117a30a1650725
123068b32a3860
1313562a273bbb
147b7d98a5bba
153dd49be8de6
hex20f16a1cb08

2263827467016 has 48 divisors (see below), whose sum is σ = 6342620064300. Its totient is φ = 728588149632.

The previous prime is 2263827466961. The next prime is 2263827467053. The reversal of 2263827467016 is 6107647283622.

It can be written as a sum of positive squares in 2 ways, for example, as 2224602080100 + 39225386916 = 1491510^2 + 198054^2 .

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, 542102191 + ... + 542106366.

Almost surely, 22263827467016 is an apocalyptic number.

It is an amenable number.

2263827467016 is an abundant number, since it is smaller than the sum of its proper divisors (4078792597284).

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

2263827467016 is a wasteful number, since it uses less digits than its factorization.

2263827467016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084208598 (or 1084208591 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2263827467016 in words is "two trillion, two hundred sixty-three billion, eight hundred twenty-seven million, four hundred sixty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 1084208557 2168417114 3252625671 4336834228 6505251342 8673668456 9757877013 13010502684 19515754026 26021005368 31442048153 39031508052 62884096306 78063016104 94326144459 125768192612 188652288918 251536385224 282978433377 377304577836 565956866754 754609155672 1131913733508 2263827467016