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1361376544 = 251110337549
BaseRepresentation
bin101000100100100…
…1111010100100000
310111212200002112111
41101021033110200
510242003022134
6343031005104
745510336553
oct12111172440
93455602474
101361376544
11639509390
1231bb09794
13189077668
14ccb3a69a
157e7b5c64
hex5124f520

1361376544 has 48 divisors (see below), whose sum is σ = 2952331200. Its totient is φ = 612783360.

The previous prime is 1361376529. The next prime is 1361376547. The reversal of 1361376544 is 4456731631.

It is a junction number, because it is equal to n+sod(n) for n = 1361376497 and 1361376506.

It is not an unprimeable number, because it can be changed into a prime (1361376547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17482 + ... + 55030.

It is an arithmetic number, because the mean of its divisors is an integer number (61506900).

Almost surely, 21361376544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361376544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476165600).

1361376544 is an abundant number, since it is smaller than the sum of its proper divisors (1590954656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361376544 is a wasteful number, since it uses less digits than its factorization.

1361376544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37673 (or 37665 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 1361376544 is about 36896.8365039606. The cubic root of 1361376544 is about 1108.3053284097.

The spelling of 1361376544 in words is "one billion, three hundred sixty-one million, three hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 1133 1648 2266 3296 4532 9064 18128 36256 37549 75098 150196 300392 413039 600784 826078 1201568 1652156 3304312 3867547 6608624 7735094 13217248 15470188 30940376 42543017 61880752 85086034 123761504 170172068 340344136 680688272 1361376544