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5219810316 = 223371492311
BaseRepresentation
bin1001101110001111…
…11111110000001100
3111110202222211122000
410313013333300030
541142232412231
62221542352300
7243231440610
oct46707776014
914422884560
105219810316
1122394a0826
12101812b690
13652560b76
1437735d340
152083c56e6
hex1371ffc0c

5219810316 has 144 divisors (see below), whose sum is σ = 15620666880. Its totient is φ = 1476601920.

The previous prime is 5219810273. The next prime is 5219810333. The reversal of 5219810316 is 6130189125.

5219810316 is a `hidden beast` number, since 521 + 98 + 10 + 31 + 6 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16783801 + ... + 16784111.

Almost surely, 25219810316 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 5219810316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810333440).

5219810316 is an abundant number, since it is smaller than the sum of its proper divisors (10400856564).

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

5219810316 is a wasteful number, since it uses less digits than its factorization.

5219810316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5219810316 is about 72248.2547609283. The cubic root of 5219810316 is about 1734.6754830496.

The spelling of 5219810316 in words is "five billion, two hundred nineteen million, eight hundred ten thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 149 189 252 298 311 378 447 596 622 756 894 933 1043 1244 1341 1788 1866 2086 2177 2682 2799 3129 3732 4023 4172 4354 5364 5598 6258 6531 8046 8397 8708 9387 11196 12516 13062 16092 16794 18774 19593 22201 26124 28161 33588 37548 39186 44402 46339 56322 58779 66603 78372 88804 92678 112644 117558 133206 139017 155407 185356 199809 235116 266412 278034 310814 324373 399618 417051 466221 556068 599427 621628 648746 799236 834102 932442 973119 1198854 1251153 1297492 1398663 1668204 1864884 1946238 2397708 2502306 2797326 2919357 3892476 4195989 5004612 5594652 5838714 6904511 8391978 8758071 11677428 13809022 16783956 17516142 20713533 27618044 35032284 41427066 48331577 62140599 82854132 96663154 124281198 144994731 186421797 193326308 248562396 289989462 372843594 434984193 579978924 745687188 869968386 1304952579 1739936772 2609905158 5219810316