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5904689616 = 2433715712437
BaseRepresentation
bin1010111111111001…
…00110100111010000
3120020111201022102000
411133330212213100
544043100031431
62413525554000
7266216014350
oct53774464720
916214638360
105904689616
112560052781
121189575900
137314079a7
144002bcb60
152485ac9e6
hex15ff269d0

5904689616 has 160 divisors (see below), whose sum is σ = 19494823680. Its totient is φ = 1676173824.

The previous prime is 5904689587. The next prime is 5904689617. The reversal of 5904689616 is 6169864095.

It is a happy number.

5904689616 is a `hidden beast` number, since 5 + 90 + 468 + 96 + 1 + 6 = 666.

It is a super-2 number, since 2×59046896162 = 69730718922596454912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5904689617) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 468550 + ... + 480986.

It is an arithmetic number, because the mean of its divisors is an integer number (121842648).

Almost surely, 25904689616 is an apocalyptic number.

5904689616 is a gapful number since it is divisible by the number (56) 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 5904689616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9747411840).

5904689616 is an abundant number, since it is smaller than the sum of its proper divisors (13590134064).

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

5904689616 is a wasteful number, since it uses less digits than its factorization.

5904689616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12606 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 5904689616 is about 76841.9782150356. The cubic root of 5904689616 is about 1807.4474990346.

The spelling of 5904689616 in words is "five billion, nine hundred four million, six hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 157 168 189 216 252 314 336 378 432 471 504 628 756 942 1008 1099 1256 1413 1512 1884 2198 2512 2826 3024 3297 3768 4239 4396 5652 6594 7536 8478 8792 9891 11304 12437 13188 16956 17584 19782 22608 24874 26376 29673 33912 37311 39564 49748 52752 59346 67824 74622 79128 87059 99496 111933 118692 149244 158256 174118 198992 223866 237384 261177 298488 335799 348236 447732 474768 522354 596976 671598 696472 783531 895464 1044708 1343196 1392944 1567062 1790928 1952609 2089416 2350593 2686392 3134124 3905218 4178832 4701186 5372784 5857827 6268248 7810436 9402372 11715654 12536496 13668263 15620872 17573481 18804744 23431308 27336526 31241744 35146962 37609488 41004789 46862616 52720443 54673052 70293924 82009578 93725232 105440886 109346104 123014367 140587848 164019156 210881772 218692208 246028734 281175696 328038312 369043101 421763544 492057468 656076624 738086202 843527088 984114936 1476172404 1968229872 2952344808 5904689616