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2120872768 = 2674734091
BaseRepresentation
bin111111001101001…
…1111001101000000
312110210210111111021
41332122133031000
513320420412033
6550241355224
7103362056350
oct17632371500
95423714437
102120872768
119991a5113
124b2338b14
1327a518601
14161960b60
15c62dbb2d
hex7e69f340

2120872768 has 28 divisors (see below), whose sum is σ = 4809837472. Its totient is φ = 908945280.

The previous prime is 2120872753. The next prime is 2120872801. The reversal of 2120872768 is 8672780212.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2366598 + ... + 2367493.

Almost surely, 22120872768 is an apocalyptic number.

2120872768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2120872768 is an abundant number, since it is smaller than the sum of its proper divisors (2688964704).

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

2120872768 is an equidigital number, since it uses as much as digits as its factorization.

2120872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734110 (or 4734100 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The square root of 2120872768 is about 46052.9344124780. The cubic root of 2120872768 is about 1284.8079205395.

The spelling of 2120872768 in words is "two billion, one hundred twenty million, eight hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 4734091 9468182 18936364 33138637 37872728 66277274 75745456 132554548 151490912 265109096 302981824 530218192 1060436384 2120872768