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12982428921 = 3731139479
BaseRepresentation
bin11000001011101000…
…00010010011111001
31020111202201201110210
430011310002103321
5203042000211141
65544122301333
7636500553000
oct140564022371
936452651423
1012982428921
115562274000
122623957849
1312bb85c007
148b22b3c37
1550eb30916
hex305d024f9

12982428921 has 64 divisors (see below), whose sum is σ = 22205952000. Its totient is φ = 6743407440.

The previous prime is 12982428919. The next prime is 12982428931.

12982428921 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12982428921 - 21 = 12982428919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12982428931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1364860 + ... + 1374338.

It is an arithmetic number, because the mean of its divisors is an integer number (346968000).

Almost surely, 212982428921 is an apocalyptic number.

12982428921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12982428921 is a deficient number, since it is larger than the sum of its proper divisors (9223523079).

12982428921 is an frugal number, since it uses more digits than its factorization.

12982428921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536 (or 9500 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The spelling of 12982428921 in words is "twelve billion, nine hundred eighty-two million, four hundred twenty-eight thousand, nine hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 343 363 539 847 1029 1331 1617 2541 3773 3993 5929 9317 9479 11319 17787 27951 28437 41503 65219 66353 104269 124509 195657 199059 312807 456533 464471 729883 1146959 1369599 1393413 2189649 3251297 3440877 5109181 8028713 9753891 12616549 15327543 24086139 35764267 37849647 56200991 88315843 107292801 168602973 264947529 393406937 618210901 1180220811 1854632703 4327476307 12982428921