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11678518292 = 227259217117
BaseRepresentation
bin10101110000001100…
…00000110000010100
31010010220012012100112
422320012000300110
5142404200041132
65210503102152
7562255524200
oct127006006024
933126165315
1011678518292
114a53245711
12231b141958
13114168506c
147cb055b00
1548541bab2
hex2b8180c14

11678518292 has 54 divisors (see below), whose sum is σ = 24185320362. Its totient is φ = 4919959968.

The previous prime is 11678518261. The next prime is 11678518337. The reversal of 11678518292 is 29281587611.

It can be written as a sum of positive squares in only one way, i.e., 6028590736 + 5649927556 = 77644^2 + 75166^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11678518292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 673718 + ... + 690834.

It is an arithmetic number, because the mean of its divisors is an integer number (447876303).

Almost surely, 211678518292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11678518292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092660181).

11678518292 is an abundant number, since it is smaller than the sum of its proper divisors (12506802070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11678518292 is a wasteful number, since it uses less digits than its factorization.

11678518292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253 (or 17185 counting only the distinct ones).

The product of its digits is 483840, while the sum is 50.

The spelling of 11678518292 in words is "eleven billion, six hundred seventy-eight million, five hundred eighteen thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 413 826 1652 2891 3481 5782 6962 11564 13924 17117 24367 34234 48734 68468 97468 119819 170569 239638 341138 479276 682276 838733 1009903 1677466 2019806 3354932 4039612 7069321 14138642 28277284 49485247 59584277 98970494 119168554 197940988 238337108 417089939 834179878 1668359756 2919629573 5839259146 11678518292