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12981784998 = 237131931371091
BaseRepresentation
bin11000001011100011…
…00101000110100110
31020111201112000011210
430011301211012212
5203041314104443
65544100412250
7636462231450
oct140561450646
936451460153
1012981784998
115561974236
1226236a7086
1312bb694bb0
148b21872d0
1550ea54c33
hex305c651a6

12981784998 has 256 divisors, whose sum is σ = 35693199360. Its totient is φ = 3051302400.

The previous prime is 12981784997. The next prime is 12981785027. The reversal of 12981784998 is 89948718921.

It is a super-3 number, since 3×129817849983 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12981784997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11898433 + ... + 11899523.

It is an arithmetic number, because the mean of its divisors is an integer number (139426560).

Almost surely, 212981784998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12981784998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846599680).

12981784998 is an abundant number, since it is smaller than the sum of its proper divisors (22711414362).

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

12981784998 is a wasteful number, since it uses less digits than its factorization.

12981784998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its digits is 20901888, while the sum is 66.

The spelling of 12981784998 in words is "twelve billion, nine hundred eighty-one million, seven hundred eighty-four thousand, nine hundred ninety-eight".