Search a number
-
+
5413727124 = 2233138346457
BaseRepresentation
bin1010000101010111…
…01110101110010100
3111222021212211111000
411002223232232110
542041403231444
62253110543300
7251104631001
oct50253565624
914867784430
105413727124
1123289a9353
121071067b30
13683798340
14394dda8a8
1521a42c469
hex142aeeb94

5413727124 has 96 divisors (see below), whose sum is σ = 15297690240. Its totient is φ = 1645657344.

The previous prime is 5413727119. The next prime is 5413727153. The reversal of 5413727124 is 4217273145.

It is a super-2 number, since 2×54137271242 = 58616882746266622752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 93304 + ... + 139760.

It is an arithmetic number, because the mean of its divisors is an integer number (159350940).

Almost surely, 25413727124 is an apocalyptic number.

5413727124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5413727124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648845120).

5413727124 is an abundant number, since it is smaller than the sum of its proper divisors (9883963116).

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

5413727124 is a wasteful number, since it uses less digits than its factorization.

5413727124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46566 (or 46558 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5413727124 is about 73578.0342493600. The cubic root of 5413727124 is about 1755.8959907297.

The spelling of 5413727124 in words is "five billion, four hundred thirteen million, seven hundred twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 12948 19422 29133 38844 46457 58266 92914 116532 139371 185828 278742 418113 557484 603941 836226 1207882 1254339 1672452 1811823 2415764 2508678 3623646 3855931 5017356 5435469 7247292 7711862 10870938 11567793 15423724 16306407 21741876 23135586 32612814 34703379 46271172 50127103 65225628 69406758 100254206 104110137 138813516 150381309 200508412 208220274 300762618 416440548 451143927 601525236 902287854 1353431781 1804575708 2706863562 5413727124