Search a number
-
+
12037239072 = 253264496481
BaseRepresentation
bin10110011010111100…
…11011000100100000
31011001220012002202100
423031132123010200
5144123013122242
65310235450400
7604202562315
oct131536330440
934056162670
1012037239072
115117786971
1223bb2b6a00
13119aaa2791
14822952d0c
154a6b7954c
hex2cd79b120

12037239072 has 72 divisors (see below), whose sum is σ = 34241489100. Its totient is φ = 4011171840.

The previous prime is 12037239041. The next prime is 12037239073. The reversal of 12037239072 is 27093273021.

It can be written as a sum of positive squares in 2 ways, for example, as 8354691216 + 3682547856 = 91404^2 + 60684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12037239073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1854072 + ... + 1860552.

Almost surely, 212037239072 is an apocalyptic number.

12037239072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12037239072 is an abundant number, since it is smaller than the sum of its proper divisors (22204250028).

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

12037239072 is a wasteful number, since it uses less digits than its factorization.

12037239072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12946 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 12037239072 in words is "twelve billion, thirty-seven million, two hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6449 6481 12898 12962 19347 19443 25796 25924 38694 38886 51592 51848 58041 58329 77388 77772 103184 103696 116082 116658 154776 155544 206368 207392 232164 233316 309552 311088 464328 466632 619104 622176 928656 933264 1857312 1866528 41795969 83591938 125387907 167183876 250775814 334367752 376163721 501551628 668735504 752327442 1003103256 1337471008 1504654884 2006206512 3009309768 4012413024 6018619536 12037239072