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6434525172 = 22323139179937
BaseRepresentation
bin1011111111000011…
…10000111111110100
3121121102200202011010
411333201300333310
5101134214301142
62542254112220
7315311363415
oct57741607764
917542622133
106434525172
112802137aa9
1212b6aab670
137b7107c5a
144507dd80c
15279d6ae9c
hex17f870ff4

6434525172 has 96 divisors (see below), whose sum is σ = 15884467200. Its totient is φ = 2023287552.

The previous prime is 6434525171. The next prime is 6434525173. The reversal of 6434525172 is 2715254346.

It is an interprime number because it is at equal distance from previous prime (6434525171) and next prime (6434525173).

It is a super-2 number, since 2×64345251722 = 82806228378203259168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6434525172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434525171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6866688 + ... + 6867624.

It is an arithmetic number, because the mean of its divisors is an integer number (165463200).

Almost surely, 26434525172 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 6434525172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942233600).

6434525172 is an abundant number, since it is smaller than the sum of its proper divisors (9449942028).

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

6434525172 is a wasteful number, since it uses less digits than its factorization.

6434525172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1283 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 6434525172 is about 80215.4920947319. The cubic root of 6434525172 is about 1859.9681240924.

The spelling of 6434525172 in words is "six billion, four hundred thirty-four million, five hundred twenty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 179 276 278 358 417 537 556 716 834 937 1074 1668 1874 2148 2811 3197 3748 4117 5622 6394 8234 9591 11244 12351 12788 16468 19182 21551 24702 24881 38364 43102 49404 49762 64653 74643 86204 99524 129306 130243 149286 167723 258612 260486 298572 335446 390729 503169 520972 572263 670892 781458 1006338 1144526 1562916 1716789 2012676 2289052 2995589 3433578 3857629 5991178 6867156 7715258 8986767 11572887 11982356 15430516 17973534 23145774 23313497 35947068 46291548 46626994 69940491 93253988 139880982 279761964 536210431 1072420862 1608631293 2144841724 3217262586 6434525172