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11744273641 = 30723532
BaseRepresentation
bin10101111000000001…
…10110010011101001
31010022110220220201211
422330000312103221
5143023013224031
65221212313121
7564014451562
oct127400662351
933273826654
1011744273641
114a87377681
1223391727a1
131152198859
147d5a91169
1548b0a9bb1
hex2bc0364e9

11744273641 has 9 divisors (see below), whose sum is σ = 11816126391. Its totient is φ = 11672857152.

The previous prime is 11744273623. The next prime is 11744273683. The reversal of 11744273641 is 14637244711.

The square root of 11744273641 is 108371.

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., 4771355625 + 6972918016 = 69075^2 + 83504^2 .

It is not a de Polignac number, because 11744273641 - 29 = 11744273129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11744273594 and 11744273603.

It is not an unprimeable number, because it can be changed into a prime (11744276641) 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, 33269721 + ... + 33270073.

Almost surely, 211744273641 is an apocalyptic number.

11744273641 is the 108371-st square number.

11744273641 is the 54186-th centered octagonal number.

It is an amenable number.

11744273641 is a deficient number, since it is larger than the sum of its proper divisors (71852750).

11744273641 is an frugal number, since it uses more digits than its factorization.

11744273641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The spelling of 11744273641 in words is "eleven billion, seven hundred forty-four million, two hundred seventy-three thousand, six hundred forty-one".

Divisors: 1 307 353 94249 108371 124609 33269897 38254963 11744273641