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11471909449 = 721121321072
BaseRepresentation
bin10101010111100011…
…10111001001001001
31002121111102101022011
422223301313021021
5141443302100244
65134202455521
7554166423100
oct125361671111
932544371264
1011471909449
114957659400
122281b045a1
13110a925900
147ab833037
15472209434
hex2abc77249

11471909449 has 81 divisors (see below), whose sum is σ = 16033291911. Its totient is φ = 8174406240.

The previous prime is 11471909447. The next prime is 11471909461. The reversal of 11471909449 is 94490917411.

The square root of 11471909449 is 107107.

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., 1697028025 + 9774881424 = 41195^2 + 98868^2 .

It is not a de Polignac number, because 11471909449 - 21 = 11471909447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (11471909441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107214054 + ... + 107214160.

Almost surely, 211471909449 is an apocalyptic number.

11471909449 is the 107107-th square number.

11471909449 is the 53554-th centered octagonal number.

It is an amenable number.

11471909449 is a deficient number, since it is larger than the sum of its proper divisors (4561382462).

11471909449 is a wasteful number, since it uses less digits than its factorization.

11471909449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

Multiplying 11471909449 by its sum of digits (49), we get a square (562123563001 = 7497492).

11471909449 divided by its sum of digits (49) gives a square (234120601 = 153012).

The spelling of 11471909449 in words is "eleven billion, four hundred seventy-one million, nine hundred nine thousand, four hundred forty-nine".

Divisors: 1 7 11 13 49 77 91 107 121 143 169 539 637 749 847 1001 1177 1183 1391 1573 1859 5243 5929 7007 8239 8281 9737 11011 11449 12947 13013 15301 18083 20449 57673 68159 77077 80143 90629 91091 107107 125939 126581 143143 148837 168311 198913 561001 634403 749749 881573 886067 1002001 1041859 1178177 1385329 1392391 1637207 1934881 2188043 6171011 7293013 8247239 9697303 9746737 11460449 13544167 15316301 18009277 21283691 67881121 80223143 94809169 107214107 126064939 148985837 234120601 882454573 1042900859 1638844207 11471909449