Search a number
-
+
2118273264 = 2432139105829
BaseRepresentation
bin111111001000010…
…0100100011110000
312110121220102122100
41332100210203300
513314234221024
6550105540400
7103331011542
oct17620444360
95417812570
102118273264
1199778a068
124b14a4700
13279b18343
14161485692
15c5e767c9
hex7e4248f0

2118273264 has 60 divisors (see below), whose sum is σ = 5970928600. Its totient is φ = 701004672.

The previous prime is 2118273263. The next prime is 2118273271. The reversal of 2118273264 is 4623728112.

It is a happy number.

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 (2118273263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32899 + ... + 72930.

Almost surely, 22118273264 is an apocalyptic number.

2118273264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2118273264 is an abundant number, since it is smaller than the sum of its proper divisors (3852655336).

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

2118273264 is a wasteful number, since it uses less digits than its factorization.

2118273264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105982 (or 105973 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2118273264 is about 46024.7027584101. The cubic root of 2118273264 is about 1284.2827862898.

The spelling of 2118273264 in words is "two billion, one hundred eighteen million, two hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 105829 211658 317487 423316 634974 846632 952461 1269948 1693264 1904922 2539896 3809844 5079792 7619688 14710231 15239376 29420462 44130693 58840924 88261386 117681848 132392079 176522772 235363696 264784158 353045544 529568316 706091088 1059136632 2118273264