Search a number
-
+
252520045220300 = 2252111353333183857
BaseRepresentation
bin111001011010101001100111…
…100110000001000111001100
31020010002200101010110120202112
4321122221213212001013030
5231044242023034022200
62253022035101443152
7104121654061010024
oct7132514746010714
91203080333416675
10252520045220300
1173508171385390
12243a40b02704b8
13aab96cc242590
14465006d1d8a84
151e2d95c50e535
hexe5aa679811cc

252520045220300 has 144 divisors (see below), whose sum is σ = 655913739271392. Its totient is φ = 83162690457600.

The previous prime is 252520045220297. The next prime is 252520045220347. The reversal of 252520045220300 is 3022540025252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165834029 + ... + 167349828.

It is an arithmetic number, because the mean of its divisors is an integer number (4554956522718).

Almost surely, 2252520045220300 is an apocalyptic number.

252520045220300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252520045220300 is an abundant number, since it is smaller than the sum of its proper divisors (403393694051092).

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

252520045220300 is a wasteful number, since it uses less digits than its factorization.

252520045220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333183948 (or 333183941 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 252520045220300 its reverse (3022540025252), we get a palindrome (255542585245552).

The spelling of 252520045220300 in words is "two hundred fifty-two trillion, five hundred twenty billion, forty-five million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 53 55 65 100 106 110 130 143 212 220 260 265 275 286 325 530 550 572 583 650 689 715 1060 1100 1166 1300 1325 1378 1430 2332 2650 2756 2860 2915 3445 3575 5300 5830 6890 7150 7579 11660 13780 14300 14575 15158 17225 29150 30316 34450 37895 58300 68900 75790 151580 189475 378950 757900 333183857 666367714 1332735428 1665919285 3331838570 3665022427 4331390141 6663677140 7330044854 8329596425 8662780282 14660089708 16659192850 17325560564 17658744421 18325112135 21656950705 33318385700 35317488842 36650224270 43313901410 47645291551 70634977684 73300448540 86627802820 88293722105 91625560675 95290583102 108284753525 176587444210 183251121350 190581166204 194246188631 216569507050 229563677473 238226457755 353174888420 366502242700 388492377262 433139014100 441468610525 459127354946 476452915510 776984754524 882937221050 918254709892 952905831020 971230943155 1147818387365 1191132288775 1765874442100 1942461886310 2295636774730 2382264577550 2525200452203 3884923772620 4591273549460 4764529155100 4856154715775 5050400904406 5739091936825 9712309431550 10100801808812 11478183873650 12626002261015 19424618863100 22956367747300 25252004522030 50504009044060 63130011305075 126260022610150 252520045220300