Search a number
-
+
168857167275990 = 2335806817751477
BaseRepresentation
bin100110011001001100011111…
…011110010010011111010110
3211010212120212022112201001000
4212121030133132102133112
5134113023434310312430
61355043524534444130
750365346006006334
oct4631143736223726
9733776768481030
10168857167275990
1149891a16914846
1216b31797803646
13732b21617807b
142d9aa32700b54
15147c5682cbe60
hex99931f7927d6

168857167275990 has 64 divisors (see below), whose sum is σ = 450291418557120. Its totient is φ = 45028014024960.

The previous prime is 168857167275967. The next prime is 168857167275991. The reversal of 168857167275990 is 99572761758861.

It is a happy number.

168857167275990 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 5 + 7 + 16 + 7 + 2 + 7 + 599 + 0 = 666.

168857167275990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168857167275991) 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, 17908132 + ... + 25659608.

It is an arithmetic number, because the mean of its divisors is an integer number (7035803414955).

Almost surely, 2168857167275990 is an apocalyptic number.

168857167275990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168857167275990 is an abundant number, since it is smaller than the sum of its proper divisors (281434251281130).

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

168857167275990 is a wasteful number, since it uses less digits than its factorization.

168857167275990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832174 (or 7832168 counting only the distinct ones).

The product of its (nonzero) digits is 3200601600, while the sum is 81.

The spelling of 168857167275990 in words is "one hundred sixty-eight trillion, eight hundred fifty-seven billion, one hundred sixty-seven million, two hundred seventy-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 80681 161362 242043 403405 484086 726129 806810 1210215 1452258 2178387 2420430 3630645 4356774 7261290 7751477 10891935 15502954 21783870 23254431 38757385 46508862 69763293 77514770 116272155 139526586 209289879 232544310 348816465 418579758 697632930 1046449395 2092898790 625396915837 1250793831674 1876190747511 3126984579185 3752381495022 5628572242533 6253969158370 9380953737555 11257144485066 16885716727599 18761907475110 28142861212665 33771433455198 56285722425330 84428583637995 168857167275990