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5134444432 = 2413229411597
BaseRepresentation
bin1001100100000100…
…10110011110010000
3111020211100210122121
410302002112132100
541003404210212
62205252544024
7241144025515
oct46202263620
914224323577
105134444432
1121a5295107
12bb3622014
1363a972300
14369c9b30c
15200b61d07
hex132096790

5134444432 has 120 divisors (see below), whose sum is σ = 11422472040. Its totient is φ = 2230824960.

The previous prime is 5134444349. The next prime is 5134444439. The reversal of 5134444432 is 2344444315.

It can be written as a sum of positive squares in 12 ways, for example, as 4507242496 + 627201936 = 67136^2 + 25044^2 .

It is not an unprimeable number, because it can be changed into a prime (5134444439) 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 23 ways as a sum of consecutive naturals, for example, 3214258 + ... + 3215854.

It is an arithmetic number, because the mean of its divisors is an integer number (95187267).

Almost surely, 25134444432 is an apocalyptic number.

5134444432 is a gapful number since it is divisible by the number (52) 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 5134444432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711236020).

5134444432 is an abundant number, since it is smaller than the sum of its proper divisors (6288027608).

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

5134444432 is a wasteful number, since it uses less digits than its factorization.

5134444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1682 counting only the distinct ones).

The product of its digits is 92160, while the sum is 34.

The square root of 5134444432 is about 71655.0377293879. The cubic root of 5134444432 is about 1725.1670419489.

Adding to 5134444432 its reverse (2344444315), we get a palindrome (7478888747).

The spelling of 5134444432 in words is "five billion, one hundred thirty-four million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 41 52 58 82 104 116 164 169 208 232 328 338 377 464 533 656 676 754 1066 1189 1352 1508 1597 2132 2378 2704 3016 3194 4264 4756 4901 6032 6388 6929 8528 9512 9802 12776 13858 15457 19024 19604 20761 25552 27716 30914 39208 41522 46313 55432 61828 65477 78416 83044 92626 110864 123656 130954 166088 185252 200941 247312 261908 269893 332176 370504 401882 523816 539786 602069 741008 803764 851201 1047632 1079572 1204138 1607528 1702402 1898833 2159144 2408276 3215056 3404804 3797666 4318288 4816552 6809608 7595332 7826897 9633104 11065613 13619216 15190664 15653794 22131226 24684829 30381328 31307588 44262452 49369658 62615176 88524904 98739316 125230352 177049808 197478632 320902777 394957264 641805554 1283611108 2567222216 5134444432