Search a number
-
+
168357871818 = 233191276471997
BaseRepresentation
bin1001110011001011101…
…0010100000011001010
3121002120011001000202000
42130302322110003022
510224244103344233
6205201553251430
715110031204303
oct2346272240312
9532504030660
10168357871818
11654446a1a44
1228766863b76
1312b50990bc6
1482119377aa
1545a55c8d13
hex2732e940ca

168357871818 has 128 divisors (see below), whose sum is σ = 397733068800. Its totient is φ = 52639118784.

The previous prime is 168357871817. The next prime is 168357871901. The reversal of 168357871818 is 818178753861.

It is a super-2 number, since 2×1683578718182 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168357871817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84304396 + ... + 84306392.

It is an arithmetic number, because the mean of its divisors is an integer number (3107289600).

Almost surely, 2168357871818 is an apocalyptic number.

168357871818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 168357871818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198866534400).

168357871818 is an abundant number, since it is smaller than the sum of its proper divisors (229375196982).

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

168357871818 is a wasteful number, since it uses less digits than its factorization.

168357871818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2795 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 63.

The spelling of 168357871818 in words is "one hundred sixty-eight billion, three hundred fifty-seven million, eight hundred seventy-one thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 127 171 254 342 381 513 647 762 1026 1143 1294 1941 1997 2286 2413 3429 3882 3994 4826 5823 5991 6858 7239 11646 11982 12293 14478 17469 17973 21717 24586 34938 35946 36879 37943 43434 53919 65151 73758 75886 82169 107838 110637 113829 130302 164338 221274 227658 246507 253619 331911 341487 493014 507238 663822 682974 739521 760857 1024461 1292059 1479042 1521714 1561211 2048922 2218563 2282571 2584118 3122422 3876177 4437126 4565142 4683633 4818761 6847713 7752354 9367266 9637522 11628531 13695426 14050899 14456283 23257062 24549121 28101798 28912566 34885593 42152697 43368849 49098242 69771186 73647363 84305394 86737698 130106547 147294726 164091493 220942089 260213094 328182986 441884178 492274479 662826267 984548958 1325652534 1476823437 2953646874 3117738367 4430470311 6235476734 8860940622 9353215101 18706430202 28059645303 56119290606 84178935909 168357871818