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5082645150 = 23252114323879
BaseRepresentation
bin1001011101111001…
…10000001010011110
3111010012220010101200
410232330300022132
540402124121100
62200202420330
7236644525302
oct45674601236
914105803350
105082645150
112179025590
12b9a2016a6
13630006c4b
14363055d02
151eb32de00
hex12ef3029e

5082645150 has 144 divisors (see below), whose sum is σ = 15243845760. Its totient is φ = 1203451200.

The previous prime is 5082645131. The next prime is 5082645173. The reversal of 5082645150 is 515462805.

5082645150 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 645 + 1 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 200911 + ... + 224789.

It is an arithmetic number, because the mean of its divisors is an integer number (105860040).

Almost surely, 25082645150 is an apocalyptic number.

5082645150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082645150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621922880).

5082645150 is an abundant number, since it is smaller than the sum of its proper divisors (10161200610).

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

5082645150 is a wasteful number, since it uses less digits than its factorization.

5082645150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23951 (or 23943 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5082645150 is about 71292.6724846250. The cubic root of 5082645150 is about 1719.3459237821.

The spelling of 5082645150 in words is "five billion, eighty-two million, six hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 43 45 50 55 66 75 86 90 99 110 129 150 165 198 215 225 258 275 330 387 430 450 473 495 550 645 774 825 946 990 1075 1290 1419 1650 1935 2150 2365 2475 2838 3225 3870 4257 4730 4950 6450 7095 8514 9675 11825 14190 19350 21285 23650 23879 35475 42570 47758 70950 71637 106425 119395 143274 212850 214911 238790 262669 358185 429822 525338 596975 716370 788007 1026797 1074555 1193950 1313345 1576014 1790925 2053594 2149110 2364021 2626690 3080391 3581850 3940035 4728042 5133985 5372775 6160782 6566725 7880070 9241173 10267970 10745550 11294767 11820105 13133450 15401955 18482346 19700175 22589534 23640210 25669925 30803910 33884301 39400350 46205865 51339850 56473835 59100525 67768602 77009775 92411730 101652903 112947670 118201050 154019550 169421505 203305806 231029325 282369175 338843010 462058650 508264515 564738350 847107525 1016529030 1694215050 2541322575 5082645150