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12283086848 = 211312792
BaseRepresentation
bin10110111000010000…
…10000100000000000
31011201000210110111112
423130020100200000
5200123432234343
65350501102452
7613246341554
oct133410204000
934630713445
1012283086848
115233533a4a
1224696b7a28
1312099c0236
1484746b864
154bd53d218
hex2dc210800

12283086848 has 108 divisors (see below), whose sum is σ = 25703303535. Its totient is φ = 5868195840.

The previous prime is 12283086839. The next prime is 12283086887. The reversal of 12283086848 is 84868038221.

It is a happy number.

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.

It can be written as a sum of positive squares in only one way, i.e., 6141543424 + 6141543424 = 78368^2 + 78368^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78368.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12283086796 and 12283086805.

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, 155482073 + ... + 155482151.

Almost surely, 212283086848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12283086848

12283086848 is an abundant number, since it is smaller than the sum of its proper divisors (13420216687).

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

12283086848 is an frugal number, since it uses more digits than its factorization.

12283086848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 50.

Multiplying 12283086848 by its sum of digits (50), we get a square (614154342400 = 7836802).

The spelling of 12283086848 in words is "twelve billion, two hundred eighty-three million, eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 256 316 496 512 632 961 992 1024 1264 1922 1984 2048 2449 2528 3844 3968 4898 5056 6241 7688 7936 9796 10112 12482 15376 15872 19592 20224 24964 30752 31744 39184 40448 49928 61504 63488 75919 78368 80896 99856 123008 151838 156736 161792 193471 199712 246016 303676 313472 386942 399424 492032 607352 626944 773884 798848 984064 1214704 1253888 1547768 1597696 1968128 2429408 2507776 3095536 3195392 4858816 5015552 5997601 6191072 6390784 9717632 11995202 12382144 12781568 19435264 23990404 24764288 38870528 47980808 49528576 77741056 95961616 99057152 155482112 191923232 198114304 383846464 396228608 767692928 1535385856 3070771712 6141543424 12283086848