Search a number
-
+
453812848311700 = 225217299205128769
BaseRepresentation
bin110011100101111011000100…
…1100111100011110110010100
32012111211002021200012020221201
41213023312021213203312110
5433440232203131433300
64245102424444122244
7164405616302306353
oct14713661147436624
92174732250166851
10453812848311700
11121664a47aa4979
1242a93b78836384
131662b4a257b797
14800c93263199a
15376eaa876166a
hex19cbd899e3d94

453812848311700 has 72 divisors (see below), whose sum is σ = 1078656989268600. Its totient is φ = 164955907522560.

The previous prime is 453812848311661. The next prime is 453812848311841. The reversal of 453812848311700 is 7113848218354.

It can be written as a sum of positive squares in 12 ways, for example, as 146293766278416 + 307519082033284 = 12095196^2 + 17536222^2 .

It is a super-2 number, since 2×4538128483117002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4602515085 + ... + 4602613684.

It is an arithmetic number, because the mean of its divisors is an integer number (14981347073175).

Almost surely, 2453812848311700 is an apocalyptic number.

It is an amenable number.

453812848311700 is an abundant number, since it is smaller than the sum of its proper divisors (624844140956900).

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

453812848311700 is a wasteful number, since it uses less digits than its factorization.

453812848311700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205128829 (or 9205128822 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 453812848311700 in words is "four hundred fifty-three trillion, eight hundred twelve billion, eight hundred forty-eight million, three hundred eleven thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 49300 9205128769 18410257538 36820515076 46025643845 92051287690 156487189073 184102575380 230128219225 266948734301 312974378146 460256438450 533897468602 625948756292 782435945365 920512876900 1067794937204 1334743671505 1564871890730 2669487343010 3129743781460 3912179726825 4538128483117 5338974686020 6673718357525 7824359453650 9076256966234 13347436715050 15648718907300 18152513932468 22690642415585 26694873430100 45381284831170 90762569662340 113453212077925 226906424155850 453812848311700