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2117053908 = 2236726013
BaseRepresentation
bin111111000101111…
…1010110111010100
312110112121111000000
41332023322313110
513313431211113
6550023451300
7103314442554
oct17613726724
95415544000
102117053908
11997026a32
124b0bb6b30
132797ac328
14161249164
15c5cd5373
hex7e2fadd4

2117053908 has 42 divisors (see below), whose sum is σ = 5554733114. Its totient is φ = 705683664.

The previous prime is 2117053903. The next prime is 2117053921. The reversal of 2117053908 is 8093507112.

2117053908 is a `hidden beast` number, since 2 + 117 + 0 + 539 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1060283844 + 1056770064 = 32562^2 + 32508^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117053903) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 360091 + ... + 365922.

Almost surely, 22117053908 is an apocalyptic number.

It is an amenable number.

2117053908 is an abundant number, since it is smaller than the sum of its proper divisors (3437679206).

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

2117053908 is an equidigital number, since it uses as much as digits as its factorization.

2117053908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726035 (or 726018 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 2117053908 is about 46011.4540956923. The cubic root of 2117053908 is about 1284.0363121882.

It can be divided in two parts, 21170 and 53908, that added together give a triangular number (75078 = T387).

The spelling of 2117053908 in words is "two billion, one hundred seventeen million, fifty-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 726013 1452026 2178039 2904052 4356078 6534117 8712156 13068234 19602351 26136468 39204702 58807053 78409404 117614106 176421159 235228212 352842318 529263477 705684636 1058526954 2117053908