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5082821520 = 2435723131543
BaseRepresentation
bin1001011101111010…
…11011001110010000
3111010020020002022220
410232331123032100
540402200242040
62200210301040
7236646161430
oct45675331620
914106202286
105082821520
112179136047
12b9a287780
136300692ca
143630a02c0
151eb3662d0
hex12ef5b390

5082821520 has 160 divisors (see below), whose sum is σ = 18790797312. Its totient is φ = 1111266816.

The previous prime is 5082821507. The next prime is 5082821531. The reversal of 5082821520 is 251282805.

It is a super-2 number, since 2×50828215202 = 51670149208350220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27132 + ... + 104411.

Almost surely, 25082821520 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 5082821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395398656).

5082821520 is an abundant number, since it is smaller than the sum of its proper divisors (13707975792).

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

5082821520 is a wasteful number, since it uses less digits than its factorization.

5082821520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131589 (or 131583 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 5082821520 is about 71293.9094172847. The cubic root of 5082821520 is about 1719.3658109028.

The spelling of 5082821520 in words is "five billion, eighty-two million, eight hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 131543 263086 394629 526172 657715 789258 920801 1052344 1315430 1578516 1841602 1973145 2104688 2630860 2762403 3025489 3157032 3683204 3946290 4604005 5261720 5524806 6050978 6314064 7366408 7892580 9076467 9208010 10523440 11049612 12101956 13812015 14732816 15127445 15785160 18152934 18416020 21178423 22099224 24203912 27624030 30254890 31570320 36305868 36832040 42356846 44198448 45382335 48407824 55248060 60509780 63535269 72611736 73664080 84713692 90764670 105892115 110496120 121019560 127070538 145223472 169427384 181529340 211784230 220992240 242039120 254141076 317676345 338854768 363058680 423568460 508282152 635352690 726117360 847136920 1016564304 1270705380 1694273840 2541410760 5082821520