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12958383581 = 1113376924043
BaseRepresentation
bin11000001000110000…
…10011110111011101
31020110002111002110122
430010120103313131
5203014321233311
65541503044325
7636056304653
oct140430236735
936402432418
1012958383581
11554a740420
1226178a06a5
1312b68904c0
148ad014dd3
1550c9810db
hex304613ddd

12958383581 has 16 divisors (see below), whose sum is σ = 15228507840. Its totient is φ = 10870830720.

The previous prime is 12958383541. The next prime is 12958383587. The reversal of 12958383581 is 18538385921.

12958383581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12958383581 is a prime.

It is a super-2 number, since 2×129583835812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12958383587) by changing a digit.

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, 526946 + ... + 550988.

It is an arithmetic number, because the mean of its divisors is an integer number (951781740).

Almost surely, 212958383581 is an apocalyptic number.

12958383581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12958383581 is a deficient number, since it is larger than the sum of its proper divisors (2270124259).

12958383581 is a wasteful number, since it uses less digits than its factorization.

12958383581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27836.

The product of its digits is 2073600, while the sum is 53.

The spelling of 12958383581 in words is "twelve billion, nine hundred fifty-eight million, three hundred eighty-three thousand, five hundred eighty-one".

Divisors: 1 11 13 143 3769 24043 41459 48997 264473 312559 538967 3438149 90618067 996798737 1178034871 12958383581