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5682606456 = 2331786316139
BaseRepresentation
bin1010100101011010…
…11011000101111000
3112200000211022120210
411102231123011320
543114221401311
62335513551120
7260551233522
oct52255330570
915600738523
105682606456
11245675737a
1211271154a0
136c73bb037
143bc9cca12
15233d403a6
hex152b5b178

5682606456 has 64 divisors (see below), whose sum is σ = 15060556800. Its totient is φ = 1780602368.

The previous prime is 5682606451. The next prime is 5682606467. The reversal of 5682606456 is 6546062865.

It is a super-2 number, since 2×56826064562 = 64584032267545759872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5682606451) 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 15 ways as a sum of consecutive naturals, for example, 344035 + ... + 360173.

It is an arithmetic number, because the mean of its divisors is an integer number (235321200).

Almost surely, 25682606456 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 5682606456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530278400).

5682606456 is an abundant number, since it is smaller than the sum of its proper divisors (9377950344).

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

5682606456 is a wasteful number, since it uses less digits than its factorization.

5682606456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17028 (or 17024 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 5682606456 is about 75383.0647824828. The cubic root of 5682606456 is about 1784.4971559451.

The spelling of 5682606456 in words is "five billion, six hundred eighty-two million, six hundred six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 863 1726 2589 3452 5178 6904 10356 14671 16139 20712 29342 32278 44013 48417 58684 64556 88026 96834 117368 129112 176052 193668 274363 352104 387336 548726 823089 1097452 1646178 2194904 3292356 6584712 13927957 27855914 41783871 55711828 83567742 111423656 167135484 236775269 334270968 473550538 710325807 947101076 1420651614 1894202152 2841303228 5682606456