Search a number
-
+
84686447970576 = 24327668772
BaseRepresentation
bin10011010000010110011001…
…101001100000100100010000
3102002211221112011111200211100
4103100112121221200210100
542100000321140024301
6500040230032544400
723560252061446224
oct2320263151404420
9362757464450740
1084686447970576
1124a90359121091
1295b89740b2100
133833b89554a5a
1416cabbb412784
159bcd4ed55286
hex4d0599a60910

84686447970576 has 45 divisors (see below), whose sum is σ = 237004743302821. Its totient is φ = 28228779180096.

The previous prime is 84686447970533. The next prime is 84686447970617. The reversal of 84686447970576 is 67507974468648.

The square root of 84686447970576 is 9202524.

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

84686447970576 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 6 + 4 + 479 + 70 + 5 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8190013712400 + 76496434258176 = 2861820^2 + 8746224^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84686447970495 and 84686447970504.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 110046850 + ... + 110813726.

Almost surely, 284686447970576 is an apocalyptic number.

84686447970576 is the 9202524-th square number.

It is an amenable number.

84686447970576 is an abundant number, since it is smaller than the sum of its proper divisors (152318295332245).

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

84686447970576 is an frugal number, since it uses more digits than its factorization.

84686447970576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533768 (or 766882 counting only the distinct ones).

The product of its (nonzero) digits is 13655900160, while the sum is 81.

The spelling of 84686447970576 in words is "eighty-four trillion, six hundred eighty-six billion, four hundred forty-seven million, nine hundred seventy thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 766877 1533754 2300631 3067508 4601262 6135016 6901893 9202524 12270032 13803786 18405048 27607572 36810096 55215144 110430288 588100333129 1176200666258 1764300999387 2352401332516 3528601998774 4704802665032 5292902998161 7057203997548 9409605330064 10585805996322 14114407995096 21171611992644 28228815990192 42343223985288 84686447970576