Search a number
-
+
82738510642722 = 23117693403147903
BaseRepresentation
bin10010110100000000001111…
…100010010011111000100010
3101211221201120001202121201210
4102310000033202103320202
541321041432211031342
6451545314055410550
723266442265402264
oct2264001742237042
9354851501677653
1082738510642722
11243aa2292a6480
12934333b983a56
1337222921aba7c
1416607cb1c3b34
1598734285e79c
hex4b400f893e22

82738510642722 has 64 divisors (see below), whose sum is σ = 180764218736640. Its totient is φ = 25038413721600.

The previous prime is 82738510642721. The next prime is 82738510642747. The reversal of 82738510642722 is 22724601583728.

It is a happy number.

It is a super-2 number, since 2×827385106427222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82738510642721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1727185423 + ... + 1727233325.

It is an arithmetic number, because the mean of its divisors is an integer number (2824440917760).

Almost surely, 282738510642722 is an apocalyptic number.

82738510642722 is an abundant number, since it is smaller than the sum of its proper divisors (98025708093918).

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

82738510642722 is a wasteful number, since it uses less digits than its factorization.

82738510642722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82719.

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 82738510642722 in words is "eighty-two trillion, seven hundred thirty-eight billion, five hundred ten million, six hundred forty-two thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 769 1538 2307 4614 8459 16918 25377 34031 47903 50754 68062 95806 102093 143709 204186 287418 374341 526933 748682 1053866 1123023 1580799 2246046 3161598 26169839 36837407 52339678 73674814 78509517 110512221 157019034 221024442 287868229 405211477 575736458 810422954 863604687 1215634431 1630186993 1727209374 2431268862 3260373986 4890560979 9781121958 17932056923 35864113846 53796170769 107592341538 1253613797617 2507227595234 3760841392851 7521682785702 13789751773787 27579503547574 41369255321361 82738510642722