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76814294045 = 51722323172
BaseRepresentation
bin100011110001001111…
…1010001110000011101
321100021022122102222112
41013202133101300131
52224303424402140
655142112523405
75356346504066
oct1074237216035
9240238572875
1076814294045
112a638737045
1212a78b50565
13732212c4c8
143a09a3156d
151ee8995c65
hex11e27d1c1d

76814294045 has 54 divisors (see below), whose sum is σ = 102684631182. Its totient is φ = 55147490816.

The previous prime is 76814294023. The next prime is 76814294099. The reversal of 76814294045 is 54049241867.

It can be written as a sum of positive squares in 9 ways, for example, as 32998175716 + 43816118329 = 181654^2 + 209323^2 .

It is a de Polignac number, because none of the positive numbers 2k-76814294045 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76814293984 and 76814294002.

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 53 ways as a sum of consecutive naturals, for example, 242316227 + ... + 242316543.

Almost surely, 276814294045 is an apocalyptic number.

It is an amenable number.

76814294045 is a deficient number, since it is larger than the sum of its proper divisors (25870337137).

76814294045 is an equidigital number, since it uses as much as digits as its factorization.

76814294045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 76814294045 in words is "seventy-six billion, eight hundred fourteen million, two hundred ninety-four thousand, forty-five".

Divisors: 1 5 17 23 85 115 289 317 391 529 1445 1585 1955 2645 5389 6647 7291 8993 26945 33235 36455 44965 91613 100489 123947 152881 167693 458065 502445 619735 764405 838465 1708313 2107099 2311247 2850781 8541565 10535495 11556235 14253905 29041321 39291199 48463277 53158681 145206605 196455995 242316385 265793405 667950383 903697577 3339751915 4518487885 15362858809 76814294045