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427713451350 = 235243261725339
BaseRepresentation
bin1100011100101011011…
…01010101010101010110
31111220000002022120021220
412032111231111111112
524001424120420400
6524253331351210
742621065231163
oct6162555252526
91456002276256
10427713451350
111554351025a9
126aa88452506
133144408aa73
14169b6a8106a
15b1d490b7a0
hex6395b55556

427713451350 has 96 divisors (see below), whose sum is σ = 1085855084160. Its totient is φ = 111357469440.

The previous prime is 427713451349. The next prime is 427713451351. The reversal of 427713451350 is 53154317724.

It is an interprime number because it is at equal distance from previous prime (427713451349) and next prime (427713451351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427713451351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16866981 + ... + 16892319.

It is an arithmetic number, because the mean of its divisors is an integer number (11310990460).

Almost surely, 2427713451350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427713451350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542927542080).

427713451350 is an abundant number, since it is smaller than the sum of its proper divisors (658141632810).

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

427713451350 is a wasteful number, since it uses less digits than its factorization.

427713451350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28014 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 427713451350 in words is "four hundred twenty-seven billion, seven hundred thirteen million, four hundred fifty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 2150 2617 3225 5234 6450 7851 13085 15702 25339 26170 39255 50678 65425 76017 78510 112531 126695 130850 152034 196275 225062 253390 337593 380085 392550 562655 633475 675186 760170 1089577 1125310 1266950 1687965 1900425 2179154 2813275 3268731 3375930 3800850 5447885 5626550 6537462 8439825 10895770 16343655 16879650 27239425 32687310 54478850 66312163 81718275 132624326 163436550 198936489 331560815 397872978 663121630 994682445 1657804075 1989364890 2851423009 3315608150 4973412225 5702846018 8554269027 9946824450 14257115045 17108538054 28514230090 42771345135 71285575225 85542690270 142571150450 213856725675 427713451350