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12306922272 = 253421792
BaseRepresentation
bin10110111011000110…
…01011101100100000
31011202200122102120000
423131203023230200
5200201033003042
65353112020000
7613656053601
oct133543135440
934680572500
1012306922272
115245a33947
122475691600
131211917338
1484a6b3da8
154c069a74c
hex2dd8cbb20

12306922272 has 90 divisors (see below), whose sum is σ = 36210934683. Its totient is φ = 4100424768.

The previous prime is 12306922261. The next prime is 12306922289. The reversal of 12306922272 is 27222960321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12306922272 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., 6153461136 + 6153461136 = 78444^2 + 78444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78444.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 14 ways as a sum of consecutive naturals, for example, 5646879 + ... + 5649057.

Almost surely, 212306922272 is an apocalyptic number.

12306922272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12306922272

12306922272 is an abundant number, since it is smaller than the sum of its proper divisors (23904012411).

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

12306922272 is an frugal number, since it uses more digits than its factorization.

12306922272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12306922272 in words is "twelve billion, three hundred six million, nine hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2179 2592 4358 6537 8716 13074 17432 19611 26148 34864 39222 52296 58833 69728 78444 104592 117666 156888 176499 209184 235332 313776 352998 470664 627552 705996 941328 1411992 1882656 2823984 4748041 5647968 9496082 14244123 18992164 28488246 37984328 42732369 56976492 75968656 85464738 113952984 128197107 151937312 170929476 227905968 256394214 341858952 384591321 455811936 512788428 683717904 769182642 1025576856 1367435808 1538365284 2051153712 3076730568 4102307424 6153461136 12306922272