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5082039690 = 2357138812113
BaseRepresentation
bin1001011101110100…
…11100010110001010
3111010011202100212020
410232322130112022
540402000232230
62200141425310
7236636424150
oct45672342612
914104670766
105082039690
112178751702
12b99b6b236
1362cb544a0
14362d393d0
151eb25e810
hex12ee9c58a

5082039690 has 128 divisors (see below), whose sum is σ = 15035715072. Its totient is φ = 1070530560.

The previous prime is 5082039679. The next prime is 5082039691. The reversal of 5082039690 is 969302805.

It is a super-2 number, since 2×50820396902 = 51654254821470592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5082039691) 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 63 ways as a sum of consecutive naturals, for example, 2404074 + ... + 2406186.

It is an arithmetic number, because the mean of its divisors is an integer number (117466524).

Almost surely, 25082039690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082039690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517857536).

5082039690 is an abundant number, since it is smaller than the sum of its proper divisors (9953675382).

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

5082039690 is a wasteful number, since it uses less digits than its factorization.

5082039690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 5082039690 is about 71288.4260592138. The cubic root of 5082039690 is about 1719.2776498492.

The spelling of 5082039690 in words is "five billion, eighty-two million, thirty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 881 910 1365 1762 2113 2643 2730 4226 4405 5286 6167 6339 8810 10565 11453 12334 12678 13215 14791 18501 21130 22906 26430 27469 29582 30835 31695 34359 37002 44373 54938 57265 61670 63390 68718 73955 80171 82407 88746 92505 114530 137345 147910 160342 164814 171795 185010 192283 221865 240513 274690 343590 384566 400855 412035 443730 481026 576849 801710 824070 961415 1153698 1202565 1861553 1922830 2405130 2884245 3723106 5584659 5768490 9307765 11169318 13030871 18615530 24200189 26061742 27923295 39092613 48400378 55846590 65154355 72600567 78185226 121000945 130308710 145201134 169401323 195463065 242001890 338802646 363002835 390926130 508203969 726005670 847006615 1016407938 1694013230 2541019845 5082039690