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2114076756 = 2231161262553
BaseRepresentation
bin111111000000010…
…0100000001010100
312110100000020010010
41332000210001110
513312200424011
6545440000220
7103250233041
oct17600440124
95410006103
102114076756
11995383180
124b0000070
13278ca91bc
14160ab21c8
15c58e81a6
hex7e024054

2114076756 has 48 divisors (see below), whose sum is σ = 5469524928. Its totient is φ = 630124800.

The previous prime is 2114076737. The next prime is 2114076761. The reversal of 2114076756 is 6576704112.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123225 + ... + 139328.

It is an arithmetic number, because the mean of its divisors is an integer number (113948436).

Almost surely, 22114076756 is an apocalyptic number.

It is an amenable number.

2114076756 is an abundant number, since it is smaller than the sum of its proper divisors (3355448172).

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

2114076756 is a wasteful number, since it uses less digits than its factorization.

2114076756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262632 (or 262630 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 2114076756 is about 45979.0904216253. The cubic root of 2114076756 is about 1283.4341287148.

The spelling of 2114076756 in words is "two billion, one hundred fourteen million, seventy-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 262553 525106 787659 1050212 1575318 2888083 3150636 5776166 8664249 11552332 16015733 17328498 32031466 34656996 48047199 64062932 96094398 176173063 192188796 352346126 528519189 704692252 1057038378 2114076756