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12606799667 = 7112173161463
BaseRepresentation
bin10111011110110110…
…00111111100110011
31012112120220210000012
423233123013330303
5201304320042132
65442543245135
7624260012660
oct135733077463
935476823005
1012606799667
11538a234200
122539ba97ab
13125baa1397
14878454a67
154dbb830b2
hex2ef6c7f33

12606799667 has 96 divisors (see below), whose sum is σ = 17630871552. Its totient is φ = 8781696000.

The previous prime is 12606799631. The next prime is 12606799741. The reversal of 12606799667 is 76699760621.

It is a happy number.

It is not a de Polignac number, because 12606799667 - 220 = 12605751091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12606799067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27228278 + ... + 27228740.

It is an arithmetic number, because the mean of its divisors is an integer number (183654912).

Almost surely, 212606799667 is an apocalyptic number.

12606799667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12606799667 is a deficient number, since it is larger than the sum of its proper divisors (5024071885).

12606799667 is a wasteful number, since it uses less digits than its factorization.

12606799667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 59.

The spelling of 12606799667 in words is "twelve billion, six hundred six million, seven hundred ninety-nine thousand, six hundred sixty-seven".

Divisors: 1 7 11 17 31 61 77 119 121 187 217 341 427 463 527 671 847 1037 1309 1891 2057 2387 3241 3689 3751 4697 5093 5797 7259 7381 7871 11407 13237 14353 14399 20801 26257 28243 32147 35651 40579 51667 55097 56023 63767 79849 86581 100471 125477 145607 157883 197701 225029 228811 244001 310673 353617 392161 446369 480131 606067 875533 878339 952391 1105181 1601677 1708007 1736713 2174711 2475319 2684011 3360917 3417403 3889787 5281441 6128731 6666737 9630863 12156991 14884061 18788077 23921821 27228509 29524121 36970087 58095851 67416041 104188427 105939493 163724671 206668847 406670957 741576451 1146072697 1800971381 12606799667