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136422224631 = 327111711579851
BaseRepresentation
bin111111100001101100…
…1011111001011110111
3111001010111111001121100
41333003121133023313
54213343042142011
6142401013421143
712566445530220
oct1770331371367
9431114431540
10136422224631
11529468755a0
122253363a7b3
13cb31593a54
1468623c6247
153836a9ed56
hex1fc365f2f7

136422224631 has 48 divisors (see below), whose sum is σ = 260129795328. Its totient is φ = 66699936000.

The previous prime is 136422224623. The next prime is 136422224707.

136422224631 is a `hidden beast` number, since 1 + 3 + 6 + 422 + 224 + 6 + 3 + 1 = 666.

136422224631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136422224631 - 23 = 136422224623 is a prime.

It is a super-2 number, since 2×1364222246312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136422264631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5778145 + ... + 5801706.

It is an arithmetic number, because the mean of its divisors is an integer number (5419370736).

Almost surely, 2136422224631 is an apocalyptic number.

136422224631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136422224631 is a deficient number, since it is larger than the sum of its proper divisors (123707570697).

136422224631 is a wasteful number, since it uses less digits than its factorization.

136422224631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11579892 (or 11579889 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 136422224631 in words is "one hundred thirty-six billion, four hundred twenty-two million, two hundred twenty-four thousand, six hundred thirty-one".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 1071 1309 1683 3927 11781 11579851 34739553 81058957 104218659 127378361 196857467 243176871 382135083 590572401 729530613 891648527 1146405249 1378002269 1771717203 2165432137 2674945581 4134006807 6496296411 8024836743 12402020421 15158024959 19488889233 45474074877 136422224631