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563623263420 = 223572832923017
BaseRepresentation
bin10000011001110101001…
…00000111110010111100
31222212210212121101000020
420030322210013302330
533213300023412140
61110531442332140
755502052456300
oct10147244076274
91885725541006
10563623263420
111a8038702a38
129129835a050
13411c34419c9
141d3cad9dd00
15e9db4e06d0
hex833a907cbc

563623263420 has 144 divisors (see below), whose sum is σ = 1836101665440. Its totient is φ = 128807110656.

The previous prime is 563623263419. The next prime is 563623263439. The reversal of 563623263420 is 24362326365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24475752 + ... + 24498768.

It is an arithmetic number, because the mean of its divisors is an integer number (12750706010).

Almost surely, 2563623263420 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 563623263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918050832720).

563623263420 is an abundant number, since it is smaller than the sum of its proper divisors (1272478402020).

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

563623263420 is a wasteful number, since it uses less digits than its factorization.

563623263420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31372 (or 31363 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

Adding to 563623263420 its reverse (24362326365), we get a palindrome (587985589785).

The spelling of 563623263420 in words is "five hundred sixty-three billion, six hundred twenty-three million, two hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 8329 16658 23017 24987 33316 41645 46034 49974 58303 69051 83290 92068 99948 115085 116606 124935 138102 161119 166580 174909 230170 233212 249870 276204 291515 322238 345255 349818 408121 460340 483357 499740 583030 644476 690510 699636 805595 816242 874545 966714 1127833 1166060 1224363 1381020 1611190 1632484 1749090 1933428 2040605 2255666 2416785 2448726 3222380 3383499 3498180 4081210 4511332 4833570 4897452 5639165 6121815 6766998 8162420 9667140 11278330 12243630 13533996 16917495 22556660 24487260 33834990 67669980 191708593 383417186 575125779 766834372 958542965 1150251558 1341960151 1917085930 2300503116 2683920302 2875628895 3834171860 4025880453 5367840604 5751257790 6709800755 8051760906 9393721057 11502515580 13419601510 16103521812 18787442114 20129402265 26839203020 28181163171 37574884228 40258804530 46968605285 56362326342 80517609060 93937210570 112724652684 140905815855 187874421140 281811631710 563623263420