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203056572043264 = 21253242012
BaseRepresentation
bin101110001010110111001010…
…110110001001000000000000
3222121222000111122011220011011
4232022313022312021000000
5203103334324420341024
61555510522412130304
760525232102103422
oct5612671266110000
9877860448156134
10203056572043264
1159777899276495
121a935883166994
13893c1ca2b51a4
14381ddc2006812
151871e7a10a094
hexb8adcad89000

203056572043264 has 117 divisors (see below), whose sum is σ = 413968244968299. Its totient is φ = 99588946329600.

The previous prime is 203056572043223. The next prime is 203056572043267. The reversal of 203056572043264 is 462340275650302.

The square root of 203056572043264 is 14249792.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19611435110400 + 183445136932864 = 4428480^2 + 13544192^2 .

It is a super-2 number, since 2×2030565720432642 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203056572043267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48335292364 + ... + 48335296564.

Almost surely, 2203056572043264 is an apocalyptic number.

203056572043264 is the 14249792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203056572043264

203056572043264 is an abundant number, since it is smaller than the sum of its proper divisors (210911672925035).

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

203056572043264 is an frugal number, since it uses more digits than its factorization.

203056572043264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 49.

The spelling of 203056572043264 in words is "two hundred three trillion, fifty-six billion, five hundred seventy-two million, forty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 2809 3392 4096 4201 5618 6784 8402 11236 13568 16804 22472 27136 33608 44944 54272 67216 89888 108544 134432 179776 217088 222653 268864 359552 445306 537728 719104 890612 1075456 1438208 1781224 2150912 2876416 3562448 4301824 5752832 7124896 8603648 11505664 11800609 14249792 17207296 17648401 23601218 28499584 35296802 47202436 56999168 70593604 94404872 113998336 141187208 188809744 227996672 282374416 377619488 455993344 564748832 755238976 911986688 935365253 1129497664 1510477952 1870730506 2258995328 3020955904 3741461012 4517990656 6041911808 7482922024 9035981312 12083823616 14965844048 18071962624 24167647232 29931688096 36143925248 48335294464 49574358409 59863376192 72287850496 99148716818 119726752384 198297433636 239453504768 396594867272 478907009536 793189734544 957814019072 1586379469088 1915628038144 3172758938176 3831256076288 6345517876352 12691035752704 25382071505408 50764143010816 101528286021632 203056572043264