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12276061248 = 2631141141769
BaseRepresentation
bin10110110111011010…
…11101010001000000
31011200112120112012010
423123231131101000
5200120132424443
65350050332520
7613132541013
oct133355352100
934615515163
1012276061248
11522a575570
12246728a140
131208400489
1484655d37a
154bcb01733
hex2dbb5d440

12276061248 has 112 divisors (see below), whose sum is σ = 36297656640. Its totient is φ = 3629260800.

The previous prime is 12276061201. The next prime is 12276061307. The reversal of 12276061248 is 84216067221.

12276061248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 15708 + ... + 157476.

It is an arithmetic number, because the mean of its divisors is an integer number (324086220).

Almost surely, 212276061248 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 12276061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148828320).

12276061248 is an abundant number, since it is smaller than the sum of its proper divisors (24021595392).

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

12276061248 is a wasteful number, since it uses less digits than its factorization.

12276061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141836 (or 141826 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12276061248 in words is "twelve billion, two hundred seventy-six million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 164 176 192 246 264 328 352 451 492 528 656 704 902 984 1056 1312 1353 1804 1968 2112 2624 2706 3608 3936 5412 7216 7872 10824 14432 21648 28864 43296 86592 141769 283538 425307 567076 850614 1134152 1559459 1701228 2268304 3118918 3402456 4536608 4678377 5812529 6237836 6804912 9073216 9356754 11625058 12475672 13609824 17437587 18713508 23250116 24951344 27219648 34875174 37427016 46500232 49902688 63937819 69750348 74854032 93000464 99805376 127875638 139500696 149708064 186000928 191813457 255751276 279001392 299416128 372001856 383626914 511502552 558002784 767253828 1023005104 1116005568 1534507656 2046010208 3069015312 4092020416 6138030624 12276061248