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12683418372 = 22341272411279
BaseRepresentation
bin10111100111111110…
…11001101100000100
31012201221002102010000
423303333121230010
5201433423341442
65454321401300
7626210164062
oct136377315404
935657072100
1012683418372
115419505a49
12255b799230
1312719196b1
148846bb032
154e3769d4c
hex2f3fd9b04

12683418372 has 120 divisors (see below), whose sum is σ = 33582940160. Its totient is φ = 4173845760.

The previous prime is 12683418343. The next prime is 12683418373. The reversal of 12683418372 is 27381438621.

12683418372 is a `hidden beast` number, since 1 + 268 + 3 + 4 + 18 + 372 = 666.

It is not an unprimeable number, because it can be changed into a prime (12683418373) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9916029 + ... + 9917307.

Almost surely, 212683418372 is an apocalyptic number.

12683418372 is a gapful number since it is divisible by the number (12) 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 12683418372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16791470080).

12683418372 is an abundant number, since it is smaller than the sum of its proper divisors (20899521788).

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

12683418372 is a wasteful number, since it uses less digits than its factorization.

12683418372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1652 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 12683418372 in words is "twelve billion, six hundred eighty-three million, four hundred eighteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 241 254 324 381 482 508 723 762 964 1143 1279 1446 1524 2169 2286 2558 2892 3429 3837 4338 4572 5116 6507 6858 7674 8676 10287 11511 13014 13716 15348 19521 20574 23022 26028 30607 34533 39042 41148 46044 61214 69066 78084 91821 103599 122428 138132 162433 183642 207198 275463 308239 324866 367284 414396 487299 550926 616478 649732 826389 924717 974598 1101852 1232956 1461897 1652778 1849434 1949196 2479167 2774151 2923794 3305556 3698868 4385691 4958334 5548302 5847588 8322453 8771382 9916668 11096604 13157073 16644906 17542764 24967359 26314146 33289812 39146353 49934718 52628292 78292706 99869436 117439059 156585412 234878118 352317177 469756236 704634354 1056951531 1409268708 2113903062 3170854593 4227806124 6341709186 12683418372