Search a number
-
+
12385620380 = 22571131914099
BaseRepresentation
bin10111000100011110…
…11001000110011100
31011222011201201001202
423202033121012130
5200331204323010
65405002455032
7615633015260
oct134217310634
934864651052
1012385620380
1152863a5a01
122497b04478
13122500cc73
14856d1c0a0
154c75436a5
hex2e23d919c

12385620380 has 96 divisors (see below), whose sum is σ = 30152908800. Its totient is φ = 4185861120.

The previous prime is 12385620367. The next prime is 12385620413. The reversal of 12385620380 is 8302658321.

12385620380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 3019571 + ... + 3023669.

It is an arithmetic number, because the mean of its divisors is an integer number (314092800).

Almost surely, 212385620380 is an apocalyptic number.

12385620380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12385620380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076454400).

12385620380 is an abundant number, since it is smaller than the sum of its proper divisors (17767288420).

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

12385620380 is a wasteful number, since it uses less digits than its factorization.

12385620380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 12385620380 in words is "twelve billion, three hundred eighty-five million, six hundred twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 191 226 382 452 565 764 791 955 1130 1337 1582 1910 2260 2674 3164 3820 3955 4099 5348 6685 7910 8198 13370 15820 16396 20495 21583 26740 28693 40990 43166 57386 81980 86332 107915 114772 143465 151081 215830 286930 302162 431660 463187 573860 604324 755405 782909 926374 1510810 1565818 1852748 2315935 3021620 3131636 3242309 3914545 4631870 5480363 6484618 7829090 9263740 10960726 12969236 15658180 16211545 21921452 27401815 32423090 54803630 64846180 88468717 109607260 176937434 353874868 442343585 619281019 884687170 1238562038 1769374340 2477124076 3096405095 6192810190 12385620380