Search a number
-
+
82671652166831 = 7137344687278491
BaseRepresentation
bin10010110011000001111110…
…011101011101110010101111
3101211201022222120202010202222
4102303001332131131302233
541313443020423314311
6451454455510305555
723261554415624120
oct2263017635356257
9354638876663688
1082671652166831
112438393a447a22
1293323a10582bb
133718b9886a930
14165b4878d4047
1598572ce4aadb
hex4b307e75dcaf

82671652166831 has 32 divisors (see below), whose sum is σ = 103146236110848. Its totient is φ = 64512827861760.

The previous prime is 82671652166773. The next prime is 82671652166849. The reversal of 82671652166831 is 13866125617628.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82671652166831 is a prime.

It is a super-2 number, since 2×826716521668312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82671652166231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296716496 + ... + 296994986.

It is an arithmetic number, because the mean of its divisors is an integer number (3223319878464).

Almost surely, 282671652166831 is an apocalyptic number.

82671652166831 is a deficient number, since it is larger than the sum of its proper divisors (20474583944017).

82671652166831 is a wasteful number, since it uses less digits than its factorization.

82671652166831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323271.

The product of its digits is 34836480, while the sum is 62.

The spelling of 82671652166831 in words is "eighty-two trillion, six hundred seventy-one billion, six hundred fifty-two million, one hundred sixty-six thousand, eight hundred thirty-one".

Divisors: 1 7 13 73 91 511 949 6643 44687 278491 312809 580931 1949437 3262151 3620383 4066517 20329843 22835057 25342681 42407963 142308901 264287959 296855741 1850015713 12444927317 87114491219 161784055121 908479694141 1132488385847 6359357858987 11810236023833 82671652166831