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12303146544 = 2431370927809
BaseRepresentation
bin10110111010101001…
…10001111000110000
31011202102112121020020
423131110301320300
5200144101142134
65352455043440
7613612006623
oct133524617060
934672477206
1012303146544
115243895107
122474370580
131210bc4890
14849daddba
154c01a1b49
hex2dd531e30

12303146544 has 80 divisors (see below), whose sum is σ = 34277493600. Its totient is φ = 3780108288.

The previous prime is 12303146533. The next prime is 12303146563. The reversal of 12303146544 is 44564130321.

It is a happy number.

12303146544 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, 428512 + ... + 456320.

It is an arithmetic number, because the mean of its divisors is an integer number (428468670).

Almost surely, 212303146544 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 12303146544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138746800).

12303146544 is an abundant number, since it is smaller than the sum of its proper divisors (21974347056).

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

12303146544 is a wasteful number, since it uses less digits than its factorization.

12303146544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28542 (or 28536 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 12303146544 its reverse (44564130321), we get a palindrome (56867276865).

The spelling of 12303146544 in words is "twelve billion, three hundred three million, one hundred forty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 709 1418 2127 2836 4254 5672 8508 9217 11344 17016 18434 27651 27809 34032 36868 55302 55618 73736 83427 110604 111236 147472 166854 221208 222472 333708 361517 442416 444944 667416 723034 1084551 1334832 1446068 2169102 2892136 4338204 5784272 8676408 17352816 19716581 39433162 59149743 78866324 118299486 157732648 236598972 256315553 315465296 473197944 512631106 768946659 946395888 1025262212 1537893318 2050524424 3075786636 4101048848 6151573272 12303146544