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12263276984 = 2374310150423
BaseRepresentation
bin10110110101111001…
…01100000110111000
31011122122112000110212
423122330230012320
5200103344330414
65344512330252
7612616064060
oct133274540670
934578460425
1012263276984
115223333562
122462b43988
13120587551a
148449923a0
154bb92883e
hex2daf2c1b8

12263276984 has 64 divisors (see below), whose sum is σ = 27156349440. Its totient is φ = 5082537600.

The previous prime is 12263276983. The next prime is 12263276999. The reversal of 12263276984 is 48967236221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263276983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217997 + ... + 268419.

It is an arithmetic number, because the mean of its divisors is an integer number (424317960).

Almost surely, 212263276984 is an apocalyptic number.

12263276984 is a gapful number since it is divisible by the number (14) 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 12263276984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578174720).

12263276984 is an abundant number, since it is smaller than the sum of its proper divisors (14893072456).

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

12263276984 is a wasteful number, since it uses less digits than its factorization.

12263276984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50580 (or 50576 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The spelling of 12263276984 in words is "twelve billion, two hundred sixty-three million, two hundred seventy-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 101 172 202 301 344 404 602 707 808 1204 1414 2408 2828 4343 5656 8686 17372 30401 34744 50423 60802 100846 121604 201692 243208 352961 403384 705922 1411844 2168189 2823688 4336378 5092723 8672756 10185446 15177323 17345512 20370892 30354646 35649061 40741784 60709292 71298122 121418584 142596244 218987089 285192488 437974178 875948356 1532909623 1751896712 3065819246 6131638492 12263276984