Search a number
-
+
5434643712 = 28319137049
BaseRepresentation
bin1010000111110111…
…00001010100000000
3112000202020111122110
411003323201110000
542112232044322
62255135135320
7251450465211
oct50373412400
915022214573
105434643712
112339795293
121078074540
13687c0ca14
14397ac3408
1521c1aec0c
hex143ee1500

5434643712 has 72 divisors (see below), whose sum is σ = 14540198400. Its totient is φ = 1802014720.

The previous prime is 5434643681. The next prime is 5434643713. The reversal of 5434643712 is 2173464345.

It is a super-2 number, since 2×54346437122 = 59070704552762277888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434643713) 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 7 ways as a sum of consecutive naturals, for example, 128164 + ... + 165212.

It is an arithmetic number, because the mean of its divisors is an integer number (201947200).

Almost surely, 25434643712 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 5434643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270099200).

5434643712 is an abundant number, since it is smaller than the sum of its proper divisors (9105554688).

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

5434643712 is a wasteful number, since it uses less digits than its factorization.

5434643712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37259 (or 37245 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 5434643712 is about 73720.0360282061. The cubic root of 5434643712 is about 1758.1544566165.

The spelling of 5434643712 in words is "five billion, four hundred thirty-four million, six hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 573 764 768 1146 1528 2292 3056 4584 6112 9168 12224 18336 24448 36672 37049 48896 73344 74098 111147 146688 148196 222294 296392 444588 592784 889176 1185568 1778352 2371136 3556704 4742272 7076359 7113408 9484544 14152718 14226816 21229077 28305436 28453632 42458154 56610872 84916308 113221744 169832616 226443488 339665232 452886976 679330464 905773952 1358660928 1811547904 2717321856 5434643712