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76679000245 = 5192061139161
BaseRepresentation
bin100011101101001101…
…1001011000010110101
321022220220001210210001
41013122123023002311
52224014311001440
655120441031301
75353114514401
oct1073233130265
9238826053701
1076679000245
112a579329891
1212a3b785531
1373000ac2c3
1439d5a94101
151edbb6db9a
hex11da6cb0b5

76679000245 has 16 divisors (see below), whose sum is σ = 96864857280. Its totient is φ = 58110307200.

The previous prime is 76679000227. The next prime is 76679000257. The reversal of 76679000245 is 54200097667.

76679000245 is a nontrivial binomial coefficient, being equal to C(391610, 2).

It is not a de Polignac number, because 76679000245 - 25 = 76679000213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76679000195 and 76679000204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938465 + ... + 1977625.

It is an arithmetic number, because the mean of its divisors is an integer number (6054053580).

Almost surely, 276679000245 is an apocalyptic number.

76679000245 is the 391609-th triangular number and also the 195805-th hexagonal number.

76679000245 is the 130537-th centered nonagonal number.

It is an amenable number.

76679000245 is a deficient number, since it is larger than the sum of its proper divisors (20185857035).

76679000245 is a wasteful number, since it uses less digits than its factorization.

76679000245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59796.

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 76679000245 in words is "seventy-six billion, six hundred seventy-nine million, two hundred forty-five", and thus it is an aban number.

Divisors: 1 5 19 95 20611 39161 103055 195805 391609 744059 1958045 3720295 807147371 4035736855 15335800049 76679000245