Search a number
-
+
168790369374 = 23311313790583
BaseRepresentation
bin1001110100110010110…
…0001010010001011110
3121010200021212011212000
42131030230022101132
510231140313304444
6205312523223130
715123532316154
oct2351454122136
9533607764760
10168790369374
1165646843840
1228867677aa6
1312bbc470213
14825315b3d4
1545cd55b469
hex274cb0a45e

168790369374 has 64 divisors (see below), whose sum is σ = 409323732480. Its totient is φ = 51131727360.

The previous prime is 168790369373. The next prime is 168790369381. The reversal of 168790369374 is 473963097861.

168790369374 is a `hidden beast` number, since 168 + 79 + 0 + 36 + 9 + 374 = 666.

It is a super-2 number, since 2×1687903693742 (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 (168790369373) 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, 1818087 + ... + 1908669.

It is an arithmetic number, because the mean of its divisors is an integer number (6395683320).

Almost surely, 2168790369374 is an apocalyptic number.

168790369374 is an abundant number, since it is smaller than the sum of its proper divisors (240533363106).

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

168790369374 is a wasteful number, since it uses less digits than its factorization.

168790369374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93742 (or 93736 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 168790369374 in words is "one hundred sixty-eight billion, seven hundred ninety million, three hundred sixty-nine thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 3137 6274 9411 18822 28233 34507 56466 69014 84699 90583 103521 169398 181166 207042 271749 310563 543498 621126 815247 931689 996413 1630494 1863378 1992826 2445741 2989239 4891482 5978478 8967717 17935434 26903151 53806302 284158871 568317742 852476613 1704953226 2557429839 3125747581 5114859678 6251495162 7672289517 9377242743 15344579034 18754485486 28131728229 56263456458 84395184687 168790369374