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12340252827 = 3375310971123
BaseRepresentation
bin10110111111000100…
…10101000010011011
31011212000100210111000
423133202111002123
5200233101042302
65400302240043
7614542263330
oct133742250233
934760323430
1012340252827
115262829661
122484886023
1312187b7266
14850cac987
154c358131c
hex2df89509b

12340252827 has 64 divisors (see below), whose sum is σ = 21326146560. Its totient is φ = 6906062592.

The previous prime is 12340252781. The next prime is 12340252831. The reversal of 12340252827 is 72825204321.

12340252827 is a `hidden beast` number, since 12 + 340 + 25 + 282 + 7 = 666.

It is not a de Polignac number, because 12340252827 - 212 = 12340248731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12340252791 and 12340252800.

It is not an unprimeable number, because it can be changed into a prime (12340252027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10988088 + ... + 10989210.

It is an arithmetic number, because the mean of its divisors is an integer number (333221040).

Almost surely, 212340252827 is an apocalyptic number.

12340252827 is a deficient number, since it is larger than the sum of its proper divisors (8985893733).

12340252827 is a wasteful number, since it uses less digits than its factorization.

12340252827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12340252827 in words is "twelve billion, three hundred forty million, two hundred fifty-two thousand, eight hundred twenty-seven".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1097 1113 1123 1431 3291 3339 3369 7679 7861 9873 10017 10107 23037 23583 29619 30321 58141 59519 69111 70749 174423 178557 207333 212247 406987 416633 523269 535671 1220961 1231931 1249899 1569807 1607013 3662883 3695793 3749697 8623517 10988649 11087379 11249091 25870551 33262137 65292343 77611653 195877029 232834959 457046401 587631087 1371139203 1762893261 4113417609 12340252827