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11759884249 = 17263792
BaseRepresentation
bin10101111001111000…
…11001011111011001
31010100120022000110111
422330330121133121
5143041012243444
65222531044321
7564264236551
oct127474313731
933316260414
1011759884249
114a9516a103
1223424406a1
1311554a30b9
147d7b96161
1548c640234
hex2bcf197d9

11759884249 has 9 divisors (see below), whose sum is σ = 12494292447. Its totient is φ = 11066391264.

The previous prime is 11759884247. The next prime is 11759884309. The reversal of 11759884249 is 94248895711.

The square root of 11759884249 is 108443.

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

It can be written as a sum of positive squares in only one way, i.e., 9155619225 + 2604265024 = 95685^2 + 51032^2 .

It is not a de Polignac number, because 11759884249 - 21 = 11759884247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11759884193 and 11759884202.

It is not an unprimeable number, because it can be changed into a prime (11759884247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1840342 + ... + 1846720.

Almost surely, 211759884249 is an apocalyptic number.

11759884249 is the 108443-rd square number.

11759884249 is the 54222-nd centered octagonal number.

It is an amenable number.

11759884249 is a deficient number, since it is larger than the sum of its proper divisors (734408198).

11759884249 is an frugal number, since it uses more digits than its factorization.

11759884249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792 (or 6396 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 58.

The spelling of 11759884249 in words is "eleven billion, seven hundred fifty-nine million, eight hundred eighty-four thousand, two hundred forty-nine".

Divisors: 1 17 289 6379 108443 1843531 40691641 691757897 11759884249