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80409412242 = 232171217215921
BaseRepresentation
bin100101011100011000…
…1100100001010010010
321200112212111101000100
41022320301210022102
52304134302142432
6100534540433230
75544422504205
oct1127061441222
9250485441010
1080409412242
1131113020605
1213700b48816
137775bc0593
143c6b2ad93c
1521593e107c
hex12b8c64292

80409412242 has 48 divisors (see below), whose sum is σ = 184621083192. Its totient is φ = 25205637120.

The previous prime is 80409412229. The next prime is 80409412253. The reversal of 80409412242 is 24221490408.

80409412242 is a `hidden beast` number, since 8 + 0 + 409 + 4 + 1 + 2 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80401169601 + 8242641 = 283551^2 + 2871^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80409412197 and 80409412206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264442 + ... + 480362.

Almost surely, 280409412242 is an apocalyptic number.

80409412242 is an abundant number, since it is smaller than the sum of its proper divisors (104211670950).

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

80409412242 is a wasteful number, since it uses less digits than its factorization.

80409412242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217163 (or 217160 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 80409412242 in words is "eighty billion, four hundred nine million, four hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1217 2434 3651 7302 10953 20689 21906 41378 62067 124134 186201 215921 372402 431842 647763 1295526 1943289 3670657 3886578 7341314 11011971 22023942 33035913 66071826 262775857 525551714 788327571 1576655142 2364982713 4467189569 4729965426 8934379138 13401568707 26803137414 40204706121 80409412242