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12445674066 = 23274122710613
BaseRepresentation
bin10111001011101000…
…11110101001010010
31012010100201202020100
423211310132221102
5200442043032231
65414545553230
7620262325020
oct134564365122
935110652210
1012445674066
115307293151
1224b4045816
1312345a84a7
14860cb1710
154cc9571e6
hex2e5d1ea52

12445674066 has 96 divisors (see below), whose sum is σ = 31711575168. Its totient is φ = 3453569280.

The previous prime is 12445674047. The next prime is 12445674071. The reversal of 12445674066 is 66047654421.

12445674066 is a `hidden beast` number, since 1 + 2 + 44 + 567 + 40 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167376 + ... + 1177988.

It is an arithmetic number, because the mean of its divisors is an integer number (330328908).

Almost surely, 212445674066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12445674066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855787584).

12445674066 is an abundant number, since it is smaller than the sum of its proper divisors (19265901102).

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

12445674066 is a wasteful number, since it uses less digits than its factorization.

12445674066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 12445674066 in words is "twelve billion, four hundred forty-five million, six hundred seventy-four thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 227 246 287 369 454 574 681 738 861 1362 1589 1722 2043 2583 3178 4086 4767 5166 9307 9534 10613 14301 18614 21226 27921 28602 31839 55842 63678 65149 74291 83763 95517 130298 148582 167526 191034 195447 222873 390894 435133 445746 586341 668619 870266 1172682 1305399 1337238 2409151 2610798 3045931 3916197 4818302 6091862 7227453 7832394 9137793 14454906 16864057 18275586 21682359 27413379 33728114 43364718 50592171 54826758 98775191 101184342 151776513 197550382 296325573 303553026 592651146 691426337 888976719 1382852674 1777953438 2074279011 4148558022 6222837033 12445674066