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5384444835 = 357111012457
BaseRepresentation
bin1010000001111000…
…00001101110100011
3111220020210010201210
411000330001232203
542011404213320
62250143201203
7250301011620
oct50074015643
914806703653
105384444835
112313419110
1210632a6203
1367a6b4c43
14391177347
15217a960e0
hex140f01ba3

5384444835 has 96 divisors (see below), whose sum is σ = 10872055296. Its totient is φ = 2210688000.

The previous prime is 5384444809. The next prime is 5384444837.

5384444835 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5384444835 - 26 = 5384444771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5384444837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11781927 + ... + 11782383.

It is an arithmetic number, because the mean of its divisors is an integer number (113250576).

Almost surely, 25384444835 is an apocalyptic number.

5384444835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5384444835 is an abundant number, since it is smaller than the sum of its proper divisors (5487610461).

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

5384444835 is a wasteful number, since it uses less digits than its factorization.

5384444835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 584 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The square root of 5384444835 is about 73378.7764615900. The cubic root of 5384444835 is about 1752.7244458341.

The spelling of 5384444835 in words is "five billion, three hundred eighty-four million, four hundred forty-four thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 101 105 165 231 303 385 457 505 707 1111 1155 1371 1515 2121 2285 3199 3333 3535 5027 5555 6855 7777 9597 10201 10605 15081 15995 16665 23331 25135 30603 35189 38885 46157 47985 51005 71407 75405 105567 112211 116655 138471 153015 175945 214221 230785 323099 336633 357035 507727 527835 561055 692355 785477 969297 1071105 1523181 1615495 1683165 2356431 2538635 3554089 3927385 4661857 4846485 7615905 10662267 11782155 13985571 17770445 23309285 32632999 51280427 53311335 69927855 97898997 153841281 163164995 256402135 358962989 489494985 769206405 1076888967 1794814945 5384444835