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116023628817 = 3212891514313
BaseRepresentation
bin110110000001110001…
…1000001010000010001
3102002110212221000200200
41230003203001100101
53400104022110232
6125144525005413
711245113400335
oct1540343012021
9362425830620
10116023628817
114522934a648
121a5a00b3869
13ac30449a05
1458891c37c5
153040d4b77c
hex1b038c1411

116023628817 has 6 divisors (see below), whose sum is σ = 167589686082. Its totient is φ = 77349085872.

The previous prime is 116023628789. The next prime is 116023628837. The reversal of 116023628817 is 718826320611.

116023628817 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 2 + 3 + 628 + 8 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115311859776 + 711769041 = 339576^2 + 26679^2 .

It is not a de Polignac number, because 116023628817 - 210 = 116023627793 is a prime.

It is a super-2 number, since 2×1160236288172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116023628837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6445757148 + ... + 6445757165.

It is an arithmetic number, because the mean of its divisors is an integer number (27931614347).

Almost surely, 2116023628817 is an apocalyptic number.

It is an amenable number.

116023628817 is a deficient number, since it is larger than the sum of its proper divisors (51566057265).

116023628817 is a wasteful number, since it uses less digits than its factorization.

116023628817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12891514319 (or 12891514316 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 116023628817 in words is "one hundred sixteen billion, twenty-three million, six hundred twenty-eight thousand, eight hundred seventeen".

Divisors: 1 3 9 12891514313 38674542939 116023628817