Search a number
-
+
12370041180 = 2232573200357
BaseRepresentation
bin10111000010100111…
…11101100101011100
31011221002102012102100
423201103331211130
5200313212304210
65403244525100
7615353421000
oct134123754534
934832365370
1012370041180
115278625032
122492850790
131221a16ac3
14854c24700
154c5eb75c0
hex2e14fd95c

12370041180 has 144 divisors (see below), whose sum is σ = 43758187200. Its totient is φ = 2827423872.

The previous prime is 12370041179. The next prime is 12370041191. The reversal of 12370041180 is 8114007321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38439 + ... + 161918.

It is an arithmetic number, because the mean of its divisors is an integer number (303876300).

Almost surely, 212370041180 is an apocalyptic number.

12370041180 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 12370041180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879093600).

12370041180 is an abundant number, since it is smaller than the sum of its proper divisors (31388146020).

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

12370041180 is a wasteful number, since it uses less digits than its factorization.

12370041180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200393 (or 200374 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12370041180 in words is "twelve billion, three hundred seventy million, forty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 200357 400714 601071 801428 1001785 1202142 1402499 1803213 2003570 2404284 2804998 3005355 3606426 4007140 4207497 5609996 6010710 7012495 7212852 8414994 9016065 9817493 12021420 12622491 14024990 16829988 18032130 19634986 21037485 25244982 28049980 29452479 36064260 39269972 42074970 49087465 50489964 58904958 63112455 68722451 84149940 88357437 98174930 117809916 126224910 137444902 147262395 176714874 196349860 206167353 252449820 274889804 294524790 343612255 353429748 412334706 441787185 589049580 618502059 687224510 824669412 883574370 1030836765 1237004118 1374449020 1767148740 2061673530 2474008236 3092510295 4123347060 6185020590 12370041180