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4682511990 = 234513597537
BaseRepresentation
bin1000101110001100…
…10111011001110110
3110002022222020220000
410113012113121312
534042210340430
62052350252130
7224015460312
oct42706273166
913068866800
104682511990
111a93179622
12aa81b7046
13598149b70
14325c58b42
151c6140e60
hex117197676

4682511990 has 160 divisors (see below), whose sum is σ = 13790921760. Its totient is φ = 1132932096.

The previous prime is 4682511973. The next prime is 4682512001. The reversal of 4682511990 is 991152864.

4682511990 is a `hidden beast` number, since 46 + 8 + 2 + 511 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 617502 + ... + 625038.

It is an arithmetic number, because the mean of its divisors is an integer number (86193261).

Almost surely, 24682511990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682511990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895460880).

4682511990 is an abundant number, since it is smaller than the sum of its proper divisors (9108409770).

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

4682511990 is a wasteful number, since it uses less digits than its factorization.

4682511990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4682511990 is about 68428.8827177530. The cubic root of 4682511990 is about 1672.9885399428.

The spelling of 4682511990 in words is "four billion, six hundred eighty-two million, five hundred eleven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 59 65 78 81 90 117 118 130 135 162 177 195 234 270 295 351 354 390 405 531 585 590 702 767 810 885 1053 1062 1170 1534 1593 1755 1770 2106 2301 2655 3186 3510 3835 4602 4779 5265 5310 6903 7537 7670 7965 9558 10530 11505 13806 15074 15930 20709 22611 23010 23895 34515 37685 41418 45222 47790 62127 67833 69030 75370 97981 103545 113055 124254 135666 195962 203499 207090 226110 293943 310635 339165 406998 444683 489905 587886 610497 621270 678330 881829 889366 979810 1017495 1220994 1334049 1469715 1763658 2034990 2223415 2645487 2668098 2939430 3052485 4002147 4409145 4446830 5290974 5780879 6104970 6670245 7936461 8004294 8818290 11561758 12006441 13227435 13340490 15872922 17342637 20010735 24012882 26454870 28904395 34685274 36019323 39682305 40021470 52027911 57808790 60032205 72038646 79364610 86713185 104055822 120064410 156083733 173426370 180096615 260139555 312167466 360193230 468251199 520279110 780418665 936502398 1560837330 2341255995 4682511990