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1293049681 = 721124672
BaseRepresentation
bin100110100010010…
…0101111101010001
310100010002201200221
41031010211331101
510122010042211
6332150313041
744020512100
oct11504457521
93303081627
101293049681
11603990400
12301058781
13177b73571
14c3a32037
15787bac71
hex4d125f51

1293049681 has 27 divisors (see below), whose sum is σ = 1656880617. Its totient is φ = 1005413640.

The previous prime is 1293049679. The next prime is 1293049691. The reversal of 1293049681 is 1869403921.

It is a happy number.

The square root of 1293049681 is 35959.

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

It is not a de Polignac number, because 1293049681 - 21 = 1293049679 is a prime.

It is a super-2 number, since 2×12930496812 = 3343954955068403522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1293049691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2768610 + ... + 2769076.

Almost surely, 21293049681 is an apocalyptic number.

1293049681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1293049681 is the 35959-th square number.

1293049681 is the 17980-th centered octagonal number.

It is an amenable number.

1293049681 is a deficient number, since it is larger than the sum of its proper divisors (363830936).

1293049681 is an frugal number, since it uses more digits than its factorization.

1293049681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 1293049681 is about 1089.4443991099. Note that the first 3 decimals are identical.

The spelling of 1293049681 in words is "one billion, two hundred ninety-three million, forty-nine thousand, six hundred eighty-one".

Divisors: 1 7 11 49 77 121 467 539 847 3269 5137 5929 22883 35959 56507 218089 251713 395549 1526623 2398979 2768843 10686361 16792853 26388769 117549971 184721383 1293049681