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5819882796 = 223271310716603
BaseRepresentation
bin1010110101110010…
…00101110100101100
3120000121010200022200
411122321011310230
543404342222141
62401300141500
7264136121220
oct53271056454
916017120280
105819882796
1125171990a2
121165097890
13719983740
143d2d24780
15240e09ab6
hex15ae45d2c

5819882796 has 144 divisors (see below), whose sum is σ = 18276620544. Its totient is φ = 1520477568.

The previous prime is 5819882753. The next prime is 5819882797. The reversal of 5819882796 is 6972889185.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5819882797) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 342231 + ... + 358833.

It is an arithmetic number, because the mean of its divisors is an integer number (126920976).

Almost surely, 25819882796 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 5819882796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9138310272).

5819882796 is an abundant number, since it is smaller than the sum of its proper divisors (12456737748).

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

5819882796 is a wasteful number, since it uses less digits than its factorization.

5819882796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740 (or 16735 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 5819882796 is about 76288.1563284892. The cubic root of 5819882796 is about 1798.7525097004.

The spelling of 5819882796 in words is "five billion, eight hundred nineteen million, eight hundred eighty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 107 117 126 156 182 214 234 252 273 321 364 428 468 546 642 749 819 963 1092 1284 1391 1498 1638 1926 2247 2782 2996 3276 3852 4173 4494 5564 6741 8346 8988 9737 12519 13482 16603 16692 19474 25038 26964 29211 33206 38948 49809 50076 58422 66412 87633 99618 116221 116844 149427 175266 199236 215839 232442 298854 348663 350532 431678 464884 597708 647517 697326 863356 1045989 1295034 1394652 1510873 1776521 1942551 2091978 2590068 3021746 3553042 3885102 4183956 4532619 5329563 6043492 7106084 7770204 9065238 10659126 12435647 13597857 15988689 18130476 21318252 23094773 24871294 27195714 31977378 37306941 46189546 49742588 54391428 63954756 69284319 74613882 92379092 111920823 138568638 149227764 161663411 207852957 223841646 277137276 323326822 415705914 447683292 484990233 646653644 831411828 969980466 1454970699 1939960932 2909941398 5819882796