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5434312464 = 243372256723
BaseRepresentation
bin1010000111110100…
…10000011100010000
3112000201121200021000
411003322100130100
542112140444324
62255124102000
7251444615400
oct50372203420
915021550230
105434312464
112339589429
121077b34900
13687b25009
14397a38800
1521c1469c9
hex143e90710

5434312464 has 120 divisors (see below), whose sum is σ = 18145252320. Its totient is φ = 1552654656.

The previous prime is 5434312459. The next prime is 5434312517. The reversal of 5434312464 is 4642134345.

5434312464 is a `hidden beast` number, since 543 + 4 + 31 + 24 + 64 = 666.

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

It is an unprimeable number.

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, 107194 + ... + 149529.

It is an arithmetic number, because the mean of its divisors is an integer number (151210436).

Almost surely, 25434312464 is an apocalyptic number.

5434312464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5434312464 is an abundant number, since it is smaller than the sum of its proper divisors (12710939856).

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

5434312464 is a wasteful number, since it uses less digits than its factorization.

5434312464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256754 (or 256735 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 5434312464 is about 73717.7893320194. The cubic root of 5434312464 is about 1758.1187353554.

The spelling of 5434312464 in words is "five billion, four hundred thirty-four million, three hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 256723 513446 770169 1026892 1540338 1797061 2053784 2310507 3080676 3594122 4107568 4621014 5391183 6161352 6931521 7188244 9242028 10782366 12322704 12579427 13863042 14376488 16173549 18484056 21564732 25158854 27726084 28752976 32347098 36968112 37738281 43129464 48520647 50317708 55452168 64694196 75476562 86258928 97041294 100635416 110904336 113214843 129388392 150953124 194082588 201270832 226429686 258776784 301906248 339644529 388165176 452859372 603812496 679289058 776330352 905718744 1358578116 1811437488 2717156232 5434312464