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12866478345 = 335741332081
BaseRepresentation
bin10111111101110011…
…01110000100001001
31020012200112211012000
423332321232010021
5202322304301340
65524421141213
7633562155450
oct137671560411
936180484160
1012866478345
115502878686
1225b0b5a809
1312a08222c6
148a0b2db97
15504879d30
hex2fee6e109

12866478345 has 64 divisors (see below), whose sum is σ = 26779092480. Its totient is φ = 5738342400.

The previous prime is 12866478341. The next prime is 12866478347. The reversal of 12866478345 is 54387466821.

It is a happy number.

12866478345 is a `hidden beast` number, since 128 + 6 + 6 + 478 + 3 + 45 = 666.

It is not a de Polignac number, because 12866478345 - 22 = 12866478341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12866478291 and 12866478300.

It is not an unprimeable number, because it can be changed into a prime (12866478341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127296 + ... + 204785.

It is an arithmetic number, because the mean of its divisors is an integer number (418423320).

Almost surely, 212866478345 is an apocalyptic number.

12866478345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12866478345 is an abundant number, since it is smaller than the sum of its proper divisors (13912614135).

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

12866478345 is a wasteful number, since it uses less digits than its factorization.

12866478345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332143 (or 332137 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 12866478345 in words is "twelve billion, eight hundred sixty-six million, four hundred seventy-eight thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 105 123 135 189 205 287 315 369 615 861 945 1107 1435 1845 2583 4305 5535 7749 12915 38745 332081 996243 1660405 2324567 2988729 4981215 6973701 8966187 11622835 13615321 14943645 20921103 34868505 40845963 44830935 62763309 68076605 95307247 104605515 122537889 204229815 285921741 313816545 367613667 476536235 612689445 857765223 1429608705 1838068335 2573295669 4288826115 12866478345