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452355004452 = 2231353186129399
BaseRepresentation
bin1101001010100100111…
…01011001100000100100
31121020121101202011101210
412211102131121200210
524402410340120302
6543450425351420
744452531044651
oct6452235314044
91536541664353
10452355004452
1116492a67511a
1273804938570
1333870271410
1417c7359cc28
15bb77dc766c
hex6952759824

452355004452 has 96 divisors (see below), whose sum is σ = 1158795590400. Its totient is φ = 136481978880.

The previous prime is 452355004421. The next prime is 452355004463. The reversal of 452355004452 is 254400553254.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 452355004452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15372049 + ... + 15401447.

It is an arithmetic number, because the mean of its divisors is an integer number (12070787400).

Almost surely, 2452355004452 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 452355004452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579397795200).

452355004452 is an abundant number, since it is smaller than the sum of its proper divisors (706440585948).

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

452355004452 is a wasteful number, since it uses less digits than its factorization.

452355004452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31333 (or 31331 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 39.

The spelling of 452355004452 in words is "four hundred fifty-two billion, three hundred fifty-five million, four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 1861 2067 2756 3722 4134 5583 7444 8268 11166 22332 24193 29399 48386 58798 72579 88197 96772 98633 117596 145158 176394 197266 290316 295899 352788 382187 394532 591798 764374 1146561 1183596 1282229 1528748 1558147 2293122 2564458 3116294 3846687 4586244 4674441 5128916 6232588 7693374 9348882 15386748 18697764 20255911 40511822 54711539 60767733 81023644 109423078 121535466 164134617 218846156 243070932 328269234 656538468 711250007 1422500014 2133750021 2845000028 2899711567 4267500042 5799423134 8535000084 8699134701 11598846268 17398269402 34796538804 37696250371 75392500742 113088751113 150785001484 226177502226 452355004452