Search a number
-
+
5232009829600 = 255219438004911
BaseRepresentation
bin100110000100010110000…
…0101100101110011100000
3200112011201202112122012001
41030020230011211303200
51141210124004021400
615043315132213344
71050000036526411
oct114105405456340
920464652478161
105232009829600
111737979172494
12705bb960a254
132bc4b7c849c8
14141332ba9808
159116ae74a6a
hex4c22c165ce0

5232009829600 has 144 divisors (see below), whose sum is σ = 13757561959680. Its totient is φ = 1936547827200.

The previous prime is 5232009829597. The next prime is 5232009829637. The reversal of 5232009829600 is 69289002325.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3348856 + ... + 4656055.

It is an arithmetic number, because the mean of its divisors is an integer number (95538624720).

Almost surely, 25232009829600 is an apocalyptic number.

5232009829600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5232009829600 is an abundant number, since it is smaller than the sum of its proper divisors (8525552130080).

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

5232009829600 is a wasteful number, since it uses less digits than its factorization.

5232009829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004993 (or 8004980 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 5232009829600 in words is "five trillion, two hundred thirty-two billion, nine million, eight hundred twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 43 50 76 80 86 95 100 152 160 172 190 200 215 304 344 380 400 430 475 608 688 760 800 817 860 950 1075 1376 1520 1634 1720 1900 2150 3040 3268 3440 3800 4085 4300 6536 6880 7600 8170 8600 13072 15200 16340 17200 20425 26144 32680 34400 40850 65360 81700 130720 163400 326800 653600 8004911 16009822 32019644 40024555 64039288 80049110 128078576 152093309 160098220 200122775 256157152 304186618 320196440 344211173 400245550 608373236 640392880 688422346 760466545 800491100 1216746472 1280785760 1376844692 1520933090 1600982200 1721055865 2433492944 2753689384 3041866180 3201964400 3442111730 3802332725 4866985888 5507378768 6083732360 6403928800 6540012287 6884223460 7604665450 8605279325 11014757536 12167464720 13080024574 13768446920 15209330900 17210558650 24334929440 26160049148 27536893840 30418661800 32700061435 34421117300 52320098296 55073787680 60837323600 65400122870 68842234600 104640196592 121674647200 130800245740 137684469200 163500307175 209280393184 261600491480 275368938400 327000614350 523200982960 654001228700 1046401965920 1308002457400 2616004914800 5232009829600