Search a number
-
+
5114367006 = 237177398123
BaseRepresentation
bin1001100001101011…
…10000110000011110
3111012102120202121020
410300311300300132
540433234221011
62203254345010
7240511254660
oct46065606036
914172522536
105114367006
112194a216a1
12ba895b166
13636762888
14367352530
151edee8006
hex130d70c1e

5114367006 has 64 divisors (see below), whose sum is σ = 12547312128. Its totient is φ = 1356438528.

The previous prime is 5114366953. The next prime is 5114367029. The reversal of 5114367006 is 6007634115.

It is a super-2 number, since 2×51143670062 = 52313499744122808072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3061 + ... + 101183.

It is an arithmetic number, because the mean of its divisors is an integer number (196051752).

Almost surely, 25114367006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5114367006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273656064).

5114367006 is an abundant number, since it is smaller than the sum of its proper divisors (7432945122).

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

5114367006 is a wasteful number, since it uses less digits than its factorization.

5114367006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98225.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5114367006 is about 71514.8027054539. The cubic root of 5114367006 is about 1722.9154410345.

The spelling of 5114367006 in words is "five billion, one hundred fourteen million, three hundred sixty-seven thousand, six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 73 102 119 146 219 238 357 438 511 714 1022 1241 1533 2482 3066 3723 7446 8687 17374 26061 52122 98123 196246 294369 588738 686861 1373722 1668091 2060583 3336182 4121166 5004273 7162979 10008546 11676637 14325958 21488937 23353274 35029911 42977874 50140853 70059822 100281706 121770643 150422559 243541286 300845118 365311929 730623858 852394501 1704789002 2557183503 5114367006