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5306927724 = 22327238111129
BaseRepresentation
bin1001111000101000…
…10100101001101100
3111200211220212020200
410330110110221230
541332033141344
62234333513500
7245340066330
oct47424245154
914624825220
105306927724
11228369338a
121041342890
13667613a27
14384b597c0
15210d83069
hex13c514a6c

5306927724 has 144 divisors (see below), whose sum is σ = 16031608320. Its totient is φ = 1447269120.

The previous prime is 5306927713. The next prime is 5306927741. The reversal of 5306927724 is 4277296035.

5306927724 is a `hidden beast` number, since 530 + 6 + 92 + 7 + 7 + 24 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5306927724.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4699992 + ... + 4701120.

Almost surely, 25306927724 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 5306927724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015804160).

5306927724 is an abundant number, since it is smaller than the sum of its proper divisors (10724680596).

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

5306927724 is a wasteful number, since it uses less digits than its factorization.

5306927724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5306927724 is about 72848.6631586332. The cubic root of 5306927724 is about 1744.2727296138.

The spelling of 5306927724 in words is "five billion, three hundred six million, nine hundred twenty-seven thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 811 828 966 1129 1449 1622 1932 2258 2433 2898 3244 3387 4516 4866 5677 5796 6774 7299 7903 9732 10161 11354 13548 14598 15806 17031 18653 20322 22708 23709 25967 29196 31612 34062 37306 40644 47418 51093 51934 55959 68124 71127 74612 77901 94836 102186 103868 111918 130571 142254 155802 167877 181769 204372 223836 233703 261142 284508 311604 335754 363538 391713 467406 522284 545307 671508 727076 783426 915619 934812 1090614 1175139 1566852 1635921 1831238 2181228 2350278 2746857 3271842 3662476 4700556 5493714 6409333 6543684 8240571 10987428 12818666 16481142 19227999 21059237 25637332 32962284 38455998 42118474 57683997 63177711 76911996 84236948 115367994 126355422 147414659 189533133 230735988 252710844 294829318 379066266 442243977 589658636 758132532 884487954 1326731931 1768975908 2653463862 5306927724