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166468136680 = 23537691104193
BaseRepresentation
bin1001101100001001000…
…1100010111011101000
3120220200110011112110201
42123002101202323220
510211411320333210
6204250245521544
715012143546356
oct2330221427350
9526613145421
10166468136680
1164664a17a6a
1228319a132b4
131290c312631
1480b29827d6
1544e474753a
hex26c2462ee8

166468136680 has 32 divisors (see below), whose sum is σ = 374653024200. Its totient is φ = 66569527296.

The previous prime is 166468136677. The next prime is 166468136693. The reversal of 166468136680 is 86631864661.

It can be written as a sum of positive squares in 4 ways, for example, as 120257755524 + 46210381156 = 346782^2 + 214966^2 .

It is a super-2 number, since 2×1664681366802 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 401337 + ... + 702856.

Almost surely, 2166468136680 is an apocalyptic number.

166468136680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166468136680 is an abundant number, since it is smaller than the sum of its proper divisors (208184887520).

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

166468136680 is a wasteful number, since it uses less digits than its factorization.

166468136680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107973 (or 1107969 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 166468136680 in words is "one hundred sixty-six billion, four hundred sixty-eight million, one hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 3769 7538 15076 18845 30152 37690 75380 150760 1104193 2208386 4416772 5520965 8833544 11041930 22083860 44167720 4161703417 8323406834 16646813668 20808517085 33293627336 41617034170 83234068340 166468136680