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11387459469961 = 83210923732
BaseRepresentation
bin1010010110110101100101…
…1110100000001010001001
31111022122000122000010010201
42211231121132200022021
52443033004111014321
640115154320412201
72253500601300301
oct245553136401211
944278018003121
1011387459469961
1136a04380004a3
12133ab71177061
13647aa9924903
142b5228014601
1514b332160291
hexa5b597a0289

11387459469961 has 27 divisors (see below), whose sum is σ = 11664298238229. Its totient is φ = 11117162911392.

The previous prime is 11387459469943. The next prime is 11387459470097. The reversal of 11387459469961 is 16996495478311.

The square root of 11387459469961 is 3374531.

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

It can be written as a sum of positive squares in 4 ways, for example, as 675873073225 + 10711586396736 = 822115^2 + 3272856^2 .

It is not a de Polignac number, because 11387459469961 - 217 = 11387459338889 is a prime.

It is a super-2 number, since 2×113874594699612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11387459466961) 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, 30529381771 + ... + 30529382143.

Almost surely, 211387459469961 is an apocalyptic number.

11387459469961 is the 3374531-st square number.

11387459469961 is the 1687266-th centered octagonal number.

It is an amenable number.

11387459469961 is a deficient number, since it is larger than the sum of its proper divisors (276838768268).

11387459469961 is an frugal number, since it uses more digits than its factorization.

11387459469961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 73.

The spelling of 11387459469961 in words is "eleven trillion, three hundred eighty-seven billion, four hundred fifty-nine million, four hundred sixty-nine thousand, nine hundred sixty-one".

Divisors: 1 83 109 373 6889 9047 11881 30959 40657 139129 750901 986123 2569597 3374531 4431613 11547707 15165061 81848209 280086073 367823879 958459681 1258700063 1652991649 30529381957 104472105229 137198306867 11387459469961