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1313773104 = 24372619157
BaseRepresentation
bin100111001001110…
…1001011000110000
310101120002120220010
41032103221120300
510142311214404
6334210414520
744361613200
oct11623513060
93346076803
101313773104
116146551a6
12307b91440
1317c24b047
14c66a8400
157a511189
hex4e4e9630

1313773104 has 120 divisors (see below), whose sum is σ = 4013182128. Its totient is φ = 369169920.

The previous prime is 1313773091. The next prime is 1313773151. The reversal of 1313773104 is 4013773131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138894 + ... + 148050.

Almost surely, 21313773104 is an apocalyptic number.

1313773104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313773104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006591064).

1313773104 is an abundant number, since it is smaller than the sum of its proper divisors (2699409024).

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

1313773104 is a wasteful number, since it uses less digits than its factorization.

1313773104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 1313773104 is about 36246.0081112390. The cubic root of 1313773104 is about 1095.2336758649.

The spelling of 1313773104 in words is "one billion, three hundred thirteen million, seven hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 732 784 854 976 1176 1281 1464 1708 2352 2562 2928 2989 3416 5124 5978 6832 8967 9157 10248 11956 17934 18314 20496 23912 27471 35868 36628 47824 54942 64099 71736 73256 109884 128198 143472 146512 192297 219768 256396 384594 439536 448693 512792 558577 769188 897386 1025584 1117154 1346079 1538376 1675731 1794772 2234308 2692158 3076752 3351462 3589544 3910039 4468616 5384316 6702924 7179088 7820078 8937232 10768632 11730117 13405848 15640156 21537264 23460234 26811696 27370273 31280312 46920468 54740546 62560624 82110819 93840936 109481092 164221638 187681872 218962184 328443276 437924368 656886552 1313773104