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11497843984 = 2411224372
BaseRepresentation
bin10101011010101001…
…10010110100010000
31002200022012222210111
422231110302310100
5142021422001414
65140530411104
7554633030014
oct125524626420
932608188714
1011497843984
114970262400
12228a730a94
1311131062a3
147b1064544
1547462d8c4
hex2ad532d10

11497843984 has 45 divisors (see below), whose sum is σ = 24496421061. Its totient is φ = 5224148160.

The previous prime is 11497843969. The next prime is 11497843993. The reversal of 11497843984 is 48934879411.

The square root of 11497843984 is 107228.

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

It can be written as a sum of positive squares in only one way, i.e., 10828483600 + 669360384 = 104060^2 + 25872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4716814 + ... + 4719250.

Almost surely, 211497843984 is an apocalyptic number.

11497843984 is the 107228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11497843984

11497843984 is an abundant number, since it is smaller than the sum of its proper divisors (12998577077).

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

11497843984 is an frugal number, since it uses more digits than its factorization.

11497843984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 2450 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 58.

The spelling of 11497843984 in words is "eleven billion, four hundred ninety-seven million, eight hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2437 4874 9748 19496 26807 38992 53614 107228 214456 294877 428912 589754 1179508 2359016 4718032 5938969 11877938 23755876 47511752 65328659 95023504 130657318 261314636 522629272 718615249 1045258544 1437230498 2874460996 5748921992 11497843984