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14327374608 = 243434731859
BaseRepresentation
bin11010101011111101…
…00110001100010000
31100222111111001010000
431111332212030100
5213320301441413
610325405210000
71015021450311
oct152576461420
940874431100
1014327374608
11609247a668
12293a260900
1314743a2971
1499cb74608
1558cc4d073
hex355fa6310

14327374608 has 100 divisors (see below), whose sum is σ = 41588387280. Its totient is φ = 4761878976.

The previous prime is 14327374603. The next prime is 14327374651. The reversal of 14327374608 is 80647372341.

14327374608 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 7 + 37 + 4 + 608 = 666.

14327374608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14327374603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 433783 + ... + 465641.

Almost surely, 214327374608 is an apocalyptic number.

14327374608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14327374608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794193640).

14327374608 is an abundant number, since it is smaller than the sum of its proper divisors (27261012672).

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

14327374608 is a wasteful number, since it uses less digits than its factorization.

14327374608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32226 (or 32211 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 14327374608 in words is "fourteen billion, three hundred twenty-seven million, three hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 347 432 648 694 1041 1296 1388 2082 2776 3123 4164 5552 6246 8328 9369 12492 16656 18738 24984 28107 31859 37476 49968 56214 63718 74952 95577 112428 127436 149904 191154 224856 254872 286731 382308 449712 509744 573462 764616 860193 1146924 1529232 1720386 2293848 2580579 3440772 4587696 5161158 6881544 10322316 11055073 13763088 20644632 22110146 33165219 41289264 44220292 66330438 88440584 99495657 132660876 176881168 198991314 265321752 298486971 397982628 530643504 596973942 795965256 895460913 1193947884 1591930512 1790921826 2387895768 3581843652 4775791536 7163687304 14327374608