Search a number
-
+
4164332316 = 223712148733
BaseRepresentation
bin1111100000110110…
…1010101100011100
3101202012221000000020
43320031222230130
532012032113231
61525120032140
7205124145354
oct37015525434
911665830006
104164332316
111847725561
12982762650
1351499b081
142b70cdb64
151958d6396
hexf836ab1c

4164332316 has 24 divisors (see below), whose sum is σ = 9718339344. Its totient is φ = 1387887360.

The previous prime is 4164332309. The next prime is 4164332369. The reversal of 4164332316 is 6132334614.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 61086 + ... + 109818.

It is an arithmetic number, because the mean of its divisors is an integer number (404930806).

Almost surely, 24164332316 is an apocalyptic number.

It is an amenable number.

4164332316 is an abundant number, since it is smaller than the sum of its proper divisors (5554007028).

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

4164332316 is a wasteful number, since it uses less digits than its factorization.

4164332316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55861 (or 55859 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 4164332316 is about 64531.6381010121. The cubic root of 4164332316 is about 1608.8484127680.

The spelling of 4164332316 in words is "four billion, one hundred sixty-four million, three hundred thirty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 7121 14242 21363 28484 42726 48733 85452 97466 146199 194932 292398 584796 347027693 694055386 1041083079 1388110772 2082166158 4164332316