Search a number
-
+
12592106892 = 22321918409513
BaseRepresentation
bin10111011101000110…
…00100110110001100
31012111120021022022100
423232203010312030
5201242034410032
65441300315100
7624021066621
oct135643046614
935446238270
1012592106892
115381a09312
1225350a2a90
131258a28831
1487650c348
154da72e97c
hex2ee8c4d8c

12592106892 has 36 divisors (see below), whose sum is σ = 33505315480. Its totient is φ = 3976454592.

The previous prime is 12592106887. The next prime is 12592106899. The reversal of 12592106892 is 29860129521.

It is a happy number.

12592106892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×125921068922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12592106899) 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 11 ways as a sum of consecutive naturals, for example, 9204073 + ... + 9205440.

Almost surely, 212592106892 is an apocalyptic number.

12592106892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12592106892 is an abundant number, since it is smaller than the sum of its proper divisors (20913208588).

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

12592106892 is a wasteful number, since it uses less digits than its factorization.

12592106892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18409542 (or 18409537 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12592106892 in words is "twelve billion, five hundred ninety-two million, one hundred six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 18409513 36819026 55228539 73638052 110457078 165685617 220914156 331371234 349780747 662742468 699561494 1049342241 1399122988 2098684482 3148026723 4197368964 6296053446 12592106892