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12240545769 = 341926472
BaseRepresentation
bin10110110011001011…
…11110011111101001
31011121001202011010000
423121211332133221
5200032034431034
65342341213213
7612221631234
oct133145763751
934531664100
1012240545769
115211518231
122457401209
131200c46bba
1484195641b
154b9938599
hex2d997e7e9

12240545769 has 45 divisors (see below), whose sum is σ = 19328166957. Its totient is φ = 7718922216.

The previous prime is 12240545719. The next prime is 12240545791. The reversal of 12240545769 is 96754504221.

The square root of 12240545769 is 110637.

It is a perfect power (a square), and thus also a powerful number.

12240545769 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 545 + 7 + 69 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12240545769 is a prime.

It is a super-2 number, since 2×122405457692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12240545719) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18918604 + ... + 18919250.

Almost surely, 212240545769 is an apocalyptic number.

12240545769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12240545769 is the 110637-th square number.

12240545769 is the 55319-th centered octagonal number.

It is an amenable number.

12240545769 is a deficient number, since it is larger than the sum of its proper divisors (7087621188).

12240545769 is an frugal number, since it uses more digits than its factorization.

12240545769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 12240 and 545769, that added together give a square (558009 = 7472).

The spelling of 12240545769 in words is "twelve billion, two hundred forty million, five hundred forty-five thousand, seven hundred sixty-nine".

Divisors: 1 3 9 19 27 57 81 171 361 513 647 1083 1539 1941 3249 5823 9747 12293 17469 29241 36879 52407 110637 233567 331911 418609 700701 995733 1255827 2102103 3767481 6306309 7953571 11302443 18918927 23860713 33907329 71582139 151117849 214746417 453353547 644239251 1360060641 4080181923 12240545769