Search a number
-
+
12820579984 = 24283072
BaseRepresentation
bin10111111000010101…
…01000011010010000
31020002111011221110201
423330022220122100
5202224032024414
65520101304544
7632464063132
oct137412503220
936074157421
1012820579984
115489979553
122599705154
131294171b04
148989c3052
15500810574
hex2fc2a8690

12820579984 has 15 divisors (see below), whose sum is σ = 24840751267. Its totient is φ = 6410063536.

The previous prime is 12820579949. The next prime is 12820579987. The reversal of 12820579984 is 48997502821.

The square root of 12820579984 is 113228.

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

It is a super-2 number, since 2×128205799842 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12820579987) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 438759 + ... + 467065.

Almost surely, 212820579984 is an apocalyptic number.

12820579984 is the 113228-th square number.

It is an amenable number.

12820579984 is a deficient number, since it is larger than the sum of its proper divisors (12020171283).

12820579984 is an frugal number, since it uses more digits than its factorization.

12820579984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56622 (or 28309 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 12820579984 in words is "twelve billion, eight hundred twenty million, five hundred seventy-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 28307 56614 113228 226456 452912 801286249 1602572498 3205144996 6410289992 12820579984