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1313618472 = 233413714797
BaseRepresentation
bin100111001001100…
…0011101000101000
310101112210201210000
41032103003220220
510142241242342
6334203223000
744360400315
oct11623035050
93345721700
101313618472
1161455a001
12307b17a60
1317c1c584a
14c6667d0c
157a4d044c
hex4e4c3a28

1313618472 has 80 divisors (see below), whose sum is σ = 3706455060. Its totient is φ = 434647296.

The previous prime is 1313618417. The next prime is 1313618473. The reversal of 1313618472 is 2748163131.

It is a happy number.

1313618472 is a `hidden beast` number, since 1 + 31 + 3 + 618 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1312902756 + 715716 = 36234^2 + 846^2 .

It is a super-2 number, since 2×13136184722 = 3451186979959229568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1313618473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81378 + ... + 96174.

Almost surely, 21313618472 is an apocalyptic number.

1313618472 is a gapful number since it is divisible by the number (12) 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 1313618472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853227530).

1313618472 is an abundant number, since it is smaller than the sum of its proper divisors (2392836588).

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

1313618472 is a wasteful number, since it uses less digits than its factorization.

1313618472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952 (or 14939 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1313618472 is about 36243.8749583981. The cubic root of 1313618472 is about 1095.1907042594.

The spelling of 1313618472 in words is "one billion, three hundred thirteen million, six hundred eighteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 274 324 411 548 648 822 1096 1233 1644 2466 3288 3699 4932 7398 9864 11097 14796 14797 22194 29592 29594 44388 44391 59188 88776 88782 118376 133173 177564 266346 355128 399519 532692 799038 1065384 1198557 1598076 2027189 2397114 3196152 4054378 4794228 6081567 8108756 9588456 12163134 16217512 18244701 24326268 36489402 48652536 54734103 72978804 109468206 145957608 164202309 218936412 328404618 437872824 656809236 1313618472