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12382474227876 = 22341954932
BaseRepresentation
bin1011010000110000010011…
…1110100101000010100100
31121211202022220211000010000
42310030010332211002210
53110333301400243001
642200232524101300
72415414153215664
oct264140476450244
947752286730100
1012382474227876
113a44417989205
12147b981694830
136ba87c12ac5c
1430b45a31c1a4
1516716add7a86
hexb4304fa50a4

12382474227876 has 45 divisors (see below), whose sum is σ = 32370399135921. Its totient is φ = 4127470296048.

The previous prime is 12382474227869. The next prime is 12382474227887. The reversal of 12382474227876 is 67872247428321.

The square root of 12382474227876 is 3518874.

It is a perfect power (a square), and thus also a powerful number.

12382474227876 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 2 + 474 + 22 + 78 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45689062500 + 12336785165376 = 213750^2 + 3512376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 63241986 + ... + 63437478.

Almost surely, 212382474227876 is an apocalyptic number.

12382474227876 is the 3518874-th square number.

It is an amenable number.

12382474227876 is an abundant number, since it is smaller than the sum of its proper divisors (19987924908045).

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

12382474227876 is an frugal number, since it uses more digits than its factorization.

12382474227876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391002 (or 195498 counting only the distinct ones).

The product of its digits is 101154816, while the sum is 63.

The spelling of 12382474227876 in words is "twelve trillion, three hundred eighty-two billion, four hundred seventy-four million, two hundred twenty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 195493 390986 586479 781972 1172958 1759437 2345916 3518874 5278311 7037748 10556622 15834933 21113244 31669866 63339732 38217513049 76435026098 114652539147 152870052196 229305078294 343957617441 458610156588 687915234882 1031872852323 1375830469764 2063745704646 3095618556969 4127491409292 6191237113938 12382474227876