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12665086416 = 2432173508393
BaseRepresentation
bin10111100101110010…
…11110000111010000
31012200122121001101200
423302321132013100
5201414230231131
65452424431200
7625565313123
oct136271360720
935618531350
1012665086416
11540a124974
122555618500
13126ab9b598
148820a83ba
154e1d482e6
hex2f2e5e1d0

12665086416 has 60 divisors (see below), whose sum is σ = 35649604068. Its totient is φ = 4197284352.

The previous prime is 12665086403. The next prime is 12665086439. The reversal of 12665086416 is 61468056621.

12665086416 is a `hidden beast` number, since 12 + 66 + 508 + 64 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9604784016 + 3060302400 = 98004^2 + 55320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229285 + ... + 279108.

Almost surely, 212665086416 is an apocalyptic number.

12665086416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12665086416 is an abundant number, since it is smaller than the sum of its proper divisors (22984517652).

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

12665086416 is a wasteful number, since it uses less digits than its factorization.

12665086416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508580 (or 508571 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12665086416 in words is "twelve billion, six hundred sixty-five million, eighty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 508393 1016786 1525179 2033572 3050358 4067144 4575537 6100716 8134288 9151074 12201432 18302148 24402864 36604296 73208592 87951989 175903978 263855967 351807956 527711934 703615912 791567901 1055423868 1407231824 1583135802 2110847736 3166271604 4221695472 6332543208 12665086416