Search a number
-
+
5167186144 = 253117330109
BaseRepresentation
bin1001100111111110…
…10000000011100000
3111100002222020211121
410303333100003200
541040244424034
62212422422024
7242022233431
oct46377200340
914302866747
105167186144
11221181847a
121002591914
136446971c3
14370381488
1520397d1b4
hex133fd00e0

5167186144 has 48 divisors (see below), whose sum is σ = 10562106240. Its totient is φ = 2485716480.

The previous prime is 5167186069. The next prime is 5167186147. The reversal of 5167186144 is 4416817615.

It is a self number, because there is not a number n which added to its sum of digits gives 5167186144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167186147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156562 + ... + 186670.

It is an arithmetic number, because the mean of its divisors is an integer number (220043880).

Almost surely, 25167186144 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 5167186144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281053120).

5167186144 is an abundant number, since it is smaller than the sum of its proper divisors (5394920096).

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

5167186144 is a wasteful number, since it uses less digits than its factorization.

5167186144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30323 (or 30315 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 5167186144 is about 71883.1422796750. The cubic root of 5167186144 is about 1728.8263330351.

The spelling of 5167186144 in words is "five billion, one hundred sixty-seven million, one hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 173 248 346 496 692 992 1384 2768 5363 5536 10726 21452 30109 42904 60218 85808 120436 171616 240872 481744 933379 963488 1866758 3733516 5208857 7467032 10417714 14934064 20835428 29868128 41670856 83341712 161474567 166683424 322949134 645898268 1291796536 2583593072 5167186144