Search a number
-
+
12246690246791 = 7111379154866529
BaseRepresentation
bin1011001000110110011110…
…0111110011000010000111
31121100202211220022002001112
42302031213213303002013
53101122210200344131
642014015110115235
72402536254346010
oct262154747630207
947322756262045
1012246690246791
1139a1879412520
1214595a794bb1b
136aab1cb63010
14304a589d6007
151638703ac02b
hexb23679f3087

12246690246791 has 32 divisors (see below), whose sum is σ = 16651249305600. Its totient is φ = 8697304212480.

The previous prime is 12246690246761. The next prime is 12246690246853. The reversal of 12246690246791 is 19764209664221.

It is a happy number.

It is not a de Polignac number, because 12246690246791 - 214 = 12246690230407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12246690246791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12246690246701) 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 31 ways as a sum of consecutive naturals, for example, 77354186 + ... + 77512343.

It is an arithmetic number, because the mean of its divisors is an integer number (520351540800).

Almost surely, 212246690246791 is an apocalyptic number.

12246690246791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12246690246791 is a deficient number, since it is larger than the sum of its proper divisors (4404559058809).

12246690246791 is a wasteful number, since it uses less digits than its factorization.

12246690246791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154866639.

The product of its (nonzero) digits is 15676416, while the sum is 59.

The spelling of 12246690246791 in words is "twelve trillion, two hundred forty-six billion, six hundred ninety million, two hundred forty-six thousand, seven hundred ninety-one".

Divisors: 1 7 11 13 77 79 91 143 553 869 1001 1027 6083 7189 11297 79079 154866529 1084065703 1703531819 2013264877 11924722733 12234455791 14092854139 22145913647 85641190537 134579013701 155021395529 159047925283 942053095907 1113335476981 1749527178113 12246690246791