Search a number
-
+
76992120000114 = 23111166547272729
BaseRepresentation
bin10001100000011000011111…
…111101101000111001110010
3101002121101010012222021111020
4101200120133331220321302
540042414330210000424
6431425405221200310
722134332336014524
oct2140303775507162
9332541105867436
1076992120000114
11225941a1617970
128775709260096
1333c64309161b7
14150261d30da14
158d7b1d500079
hex46061ff68e72

76992120000114 has 16 divisors (see below), whose sum is σ = 167982807273120. Its totient is φ = 23330945454560.

The previous prime is 76992120000113. The next prime is 76992120000121. The reversal of 76992120000114 is 41100002129967.

76992120000114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×769921200001142 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76992120000113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583273636299 + ... + 583273636430.

It is an arithmetic number, because the mean of its divisors is an integer number (10498925454570).

Almost surely, 276992120000114 is an apocalyptic number.

76992120000114 is an abundant number, since it is smaller than the sum of its proper divisors (90990687273006).

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

76992120000114 is a wasteful number, since it uses less digits than its factorization.

76992120000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166547272745.

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 76992120000114 in words is "seventy-six trillion, nine hundred ninety-two billion, one hundred twenty million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 1166547272729 2333094545458 3499641818187 6999283636374 12832020000019 25664040000038 38496060000057 76992120000114