Search a number
-
+
6664177720 = 235417951437
BaseRepresentation
bin1100011010011011…
…10100100000111000
3122012102211022020001
412031031310200320
5102122012141340
63021140242344
7324100401364
oct61515644070
918172738201
106664177720
11290a8333a2
12135b9a03b4
13822875035
144731002a4
152900d129a
hex18d374838

6664177720 has 64 divisors (see below), whose sum is σ = 15554851200. Its totient is φ = 2567685120.

The previous prime is 6664177717. The next prime is 6664177727. The reversal of 6664177720 is 277714666.

It is a super-2 number, since 2×66641777202 = 88822529367488796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6664177727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103842 + ... + 155278.

It is an arithmetic number, because the mean of its divisors is an integer number (243044550).

Almost surely, 26664177720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6664177720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777425600).

6664177720 is an abundant number, since it is smaller than the sum of its proper divisors (8890673480).

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

6664177720 is a wasteful number, since it uses less digits than its factorization.

6664177720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51568 (or 51564 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 6664177720 is about 81634.4150465966. The cubic root of 6664177720 is about 1881.8378097594.

The spelling of 6664177720 in words is "six billion, six hundred sixty-four million, one hundred seventy-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 205 316 328 395 410 632 790 820 1580 1640 3160 3239 6478 12956 16195 25912 32390 51437 64780 102874 129560 205748 257185 411496 514370 1028740 2057480 2108917 4063523 4217834 8127046 8435668 10544585 16254092 16871336 20317615 21089170 32508184 40635230 42178340 81270460 84356680 162540920 166604443 333208886 666417772 833022215 1332835544 1666044430 3332088860 6664177720