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12842328976 = 244126912
BaseRepresentation
bin10111111010111011…
…00110001110010000
31020011000002220110221
423331131212032100
5202300114011401
65522155402424
7633146665231
oct137535461620
936130086427
1012842328976
1154a0183924
1225a4a53414
131298818339
1489b845088
155026a97a1
hex2fd766390

12842328976 has 45 divisors (see below), whose sum is σ = 25540654449. Its totient is φ = 6255484800.

The previous prime is 12842328973. The next prime is 12842328979. The reversal of 12842328976 is 67982324821.

The square root of 12842328976 is 113324.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12842328973) and next prime (12842328979).

It can be written as a sum of positive squares in only one way, i.e., 618815376 + 12223513600 = 24876^2 + 110560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12842328973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18584791 + ... + 18585481.

Almost surely, 212842328976 is an apocalyptic number.

12842328976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12842328976 is the 113324-th square number.

It is an amenable number.

12842328976 is a deficient number, since it is larger than the sum of its proper divisors (12698325473).

12842328976 is an frugal number, since it uses more digits than its factorization.

12842328976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 734 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The spelling of 12842328976 in words is "twelve billion, eight hundred forty-two million, three hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 691 1382 1681 2764 3362 5528 6724 11056 13448 26896 28331 56662 113324 226648 453296 477481 954962 1161571 1909924 2323142 3819848 4646284 7639696 9292568 18585136 19576721 39153442 78306884 156613768 313227536 802645561 1605291122 3210582244 6421164488 12842328976