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5144066060 = 2257221124877
BaseRepresentation
bin1001100101001110…
…00011100000001100
3111021111110122001012
410302213003200030
541013340103220
62210235104352
7241321561100
oct46247034014
914244418035
105144066060
1121aa766a71
12bb68a20b8
1363c960893
1436b283900
15201912ac5
hex1329c380c

5144066060 has 72 divisors (see below), whose sum is σ = 12626281584. Its totient is φ = 1755250560.

The previous prime is 5144066051. The next prime is 5144066069. The reversal of 5144066060 is 606604415.

It is an interprime number because it is at equal distance from previous prime (5144066051) and next prime (5144066069).

It is a super-2 number, since 2×51440660602 = 52922831259287847200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5144066069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194342 + ... + 219218.

It is an arithmetic number, because the mean of its divisors is an integer number (175365022).

Almost surely, 25144066060 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 5144066060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313140792).

5144066060 is an abundant number, since it is smaller than the sum of its proper divisors (7482215524).

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

5144066060 is a wasteful number, since it uses less digits than its factorization.

5144066060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25111 (or 25102 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 5144066060 is about 71722.1448368633. The cubic root of 5144066060 is about 1726.2439879276.

The spelling of 5144066060 in words is "five billion, one hundred forty-four million, sixty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 211 245 422 490 844 980 1055 1477 2110 2954 4220 5908 7385 10339 14770 20678 24877 29540 41356 49754 51695 99508 103390 124385 174139 206780 248770 348278 497540 696556 870695 1218973 1741390 2437946 3482780 4875892 5249047 6094865 10498094 12189730 20996188 24379460 26245235 36743329 52490470 73486658 104980940 146973316 183716645 257203303 367433290 514406606 734866580 1028813212 1286016515 2572033030 5144066060