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2117956048 = 241331912
BaseRepresentation
bin111111000111101…
…0111000111010000
312110121022022111121
41332033113013100
513314144043143
6550055052024
7103325220655
oct17617270720
95417268447
102117956048
119975927aa
124b1371014
13279a36b40
14161401c2c
15c5e127ed
hex7e3d71d0

2117956048 has 30 divisors (see below), whose sum is σ = 4420582082. Its totient is φ = 977211840.

The previous prime is 2117956039. The next prime is 2117956063. The reversal of 2117956048 is 8406597112.

It can be written as a sum of positive squares in only one way, i.e., 1466277264 + 651678784 = 38292^2 + 25528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2117955995 and 2117956013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 662133 + ... + 665323.

Almost surely, 22117956048 is an apocalyptic number.

It is an amenable number.

2117956048 is an abundant number, since it is smaller than the sum of its proper divisors (2302626034).

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

2117956048 is an frugal number, since it uses more digits than its factorization.

2117956048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6403 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 2117956048 is about 46021.2564800224. The cubic root of 2117956048 is about 1284.2186750484.

The spelling of 2117956048 in words is "two billion, one hundred seventeen million, nine hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 3191 6382 12764 25528 41483 51056 82966 165932 331864 663728 10182481 20364962 40729924 81459848 132372253 162919696 264744506 529489012 1058978024 2117956048