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12550272784 = 247240012
BaseRepresentation
bin10111011000000110…
…11111011100010000
31012101122112220200221
423230003133130100
5201200332212114
65433203522424
7623002362400
oct135403373420
935348486627
1012550272784
115360335775
122523089414
13125016c21a
14870b3c800
154d6c19524
hex2ec0df710

12550272784 has 45 divisors (see below), whose sum is σ = 28293209301. Its totient is φ = 5377344000.

The previous prime is 12550272781. The next prime is 12550272859. The reversal of 12550272784 is 48727205521.

The square root of 12550272784 is 112028.

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

12550272784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 503015184 + 12047257600 = 22428^2 + 109760^2 .

It is a super-2 number, since 2×125502727842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12550272784.

It is not an unprimeable number, because it can be changed into a prime (12550272781) 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 8 ways as a sum of consecutive naturals, for example, 3134784 + ... + 3138784.

Almost surely, 212550272784 is an apocalyptic number.

12550272784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12550272784 is the 112028-th square number.

It is an amenable number.

12550272784 is an abundant number, since it is smaller than the sum of its proper divisors (15742936517).

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

12550272784 is an frugal number, since it uses more digits than its factorization.

12550272784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 43.

The spelling of 12550272784 in words is "twelve billion, five hundred fifty million, two hundred seventy-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4001 8002 16004 28007 32008 56014 64016 112028 196049 224056 392098 448112 784196 1568392 3136784 16008001 32016002 64032004 112056007 128064008 224112014 256128016 448224028 784392049 896448056 1568784098 1792896112 3137568196 6275136392 12550272784