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76320192337 = 375341399403
BaseRepresentation
bin100011100010100001…
…0011011011101010001
321021222212220110212021
41013011002123131101
52222300432123322
655021102331441
75341166634244
oct1070502333521
9237885813767
1076320192337
112a404839124
121295b589b81
13727396102c
1439a017325b
151eba3e54c7
hex11c509b751

76320192337 has 16 divisors (see below), whose sum is σ = 79889613120. Its totient is φ = 72831051072.

The previous prime is 76320192331. The next prime is 76320192341. The reversal of 76320192337 is 73329102367.

It is a cyclic number.

It is not a de Polignac number, because 76320192337 - 227 = 76185974609 is a prime.

It is a super-3 number, since 3×763201923373 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76320192293 and 76320192302.

It is not an unprimeable number, because it can be changed into a prime (76320192331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8111878 + ... + 8121280.

It is an arithmetic number, because the mean of its divisors is an integer number (4993100820).

Almost surely, 276320192337 is an apocalyptic number.

It is an amenable number.

76320192337 is a deficient number, since it is larger than the sum of its proper divisors (3569420783).

76320192337 is a wasteful number, since it uses less digits than its factorization.

76320192337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13632.

The product of its (nonzero) digits is 285768, while the sum is 43.

The spelling of 76320192337 in words is "seventy-six billion, three hundred twenty million, one hundred ninety-two thousand, three hundred thirty-seven".

Divisors: 1 37 53 1961 4139 9403 153143 219367 347911 498359 8116579 18439283 38919017 1440003629 2062707901 76320192337