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214084666480412 = 227133531666132261
BaseRepresentation
bin110000101011010101111000…
…011111110101011100011100
31001002000021221111110212000202
4300223111320133311130130
5211030030344104333122
62035153045453043032
763044051416130060
oct6053257037653434
91032007844425022
10214084666480412
11622398850638a2
1220017061786478
13925c136070740
143ac1a788b1aa0
1519b3c77e81e92
hexc2b5787f571c

214084666480412 has 48 divisors (see below), whose sum is σ = 462411683466432. Its totient is φ = 84452911994880.

The previous prime is 214084666480367. The next prime is 214084666480439.

It is a happy number.

214084666480412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832937639 + ... + 833194622.

It is an arithmetic number, because the mean of its divisors is an integer number (9633576738884).

Almost surely, 2214084666480412 is an apocalyptic number.

It is an amenable number.

214084666480412 is an abundant number, since it is smaller than the sum of its proper divisors (248327016986020).

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

214084666480412 is a wasteful number, since it uses less digits than its factorization.

214084666480412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666132638 (or 1666132636 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 56.

The spelling of 214084666480412 in words is "two hundred fourteen trillion, eighty-four billion, six hundred sixty-six million, four hundred eighty thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 353 364 706 1412 2471 4589 4942 9178 9884 18356 32123 64246 128492 1666132261 3332264522 6664529044 11662925827 21659719393 23325851654 43319438786 46651703308 86638877572 151618035751 303236071502 588144688133 606472143004 1176289376266 2352578752532 4117012816931 7645880945729 8234025633862 15291761891458 16468051267724 30583523782916 53521166620103 107042333240206 214084666480412