Search a number
-
+
12247137520 = 2452315494297
BaseRepresentation
bin10110110011111110…
…00111110011110000
31011121112011001021221
423121333013303300
5200040231400040
65343134354424
7612331644202
oct133177076360
934545131257
1012247137520
11521520a762
12245965ba14
131202414347
14842790772
154ba2db74a
hex2d9fc7cf0

12247137520 has 80 divisors (see below), whose sum is σ = 29738721600. Its totient is φ = 4681746432.

The previous prime is 12247137509. The next prime is 12247137533. The reversal of 12247137520 is 2573174221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2848012 + ... + 2852308.

It is an arithmetic number, because the mean of its divisors is an integer number (371734020).

Almost surely, 212247137520 is an apocalyptic number.

12247137520 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 12247137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869360800).

12247137520 is an abundant number, since it is smaller than the sum of its proper divisors (17491584080).

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

12247137520 is a wasteful number, since it uses less digits than its factorization.

12247137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 12247137520 in words is "twelve billion, two hundred forty-seven million, one hundred thirty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1549 1840 3098 4297 6196 7745 8594 12392 15490 17188 21485 24784 30980 34376 35627 42970 61960 68752 71254 85940 98831 123920 142508 171880 178135 197662 285016 343760 356270 395324 494155 570032 712540 790648 988310 1425080 1581296 1976620 2850160 3953240 6656053 7906480 13312106 26624212 33280265 53248424 66560530 106496848 133121060 153089219 266242120 306178438 532484240 612356876 765446095 1224713752 1530892190 2449427504 3061784380 6123568760 12247137520