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10563814000 = 245341472741
BaseRepresentation
bin10011101011010011…
…10000001001110000
31000021012200100112101
421311221300021300
5133113314022000
64504123110144
7522531636355
oct116551601160
930235610471
1010563814000
114530aa78a3
122069972354
13cc475651c
14722daa62c
1541c62de6a
hex275a70270

10563814000 has 160 divisors (see below), whose sum is σ = 26732788992. Its totient is φ = 4033280000.

The previous prime is 10563813979. The next prime is 10563814033. The reversal of 10563814000 is 41836501.

It is a super-2 number, since 2×105638140002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10563814000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3852630 + ... + 3855370.

Almost surely, 210563814000 is an apocalyptic number.

10563814000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10563814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366394496).

10563814000 is an abundant number, since it is smaller than the sum of its proper divisors (16168974992).

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

10563814000 is a wasteful number, since it uses less digits than its factorization.

10563814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 10563814000 in words is "ten billion, five hundred sixty-three million, eight hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 47 50 80 82 94 100 125 164 188 200 205 235 250 328 376 400 410 470 500 656 752 820 940 1000 1025 1175 1640 1880 1927 2000 2050 2350 2741 3280 3760 3854 4100 4700 5125 5482 5875 7708 8200 9400 9635 10250 10964 11750 13705 15416 16400 18800 19270 20500 21928 23500 27410 30832 38540 41000 43856 47000 48175 54820 68525 77080 82000 94000 96350 109640 112381 128827 137050 154160 192700 219280 224762 240875 257654 274100 342625 385400 449524 481750 515308 548200 561905 644135 685250 770800 899048 963500 1030616 1096400 1123810 1288270 1370500 1798096 1927000 2061232 2247620 2576540 2741000 2809525 3220675 3854000 4495240 5153080 5281907 5482000 5619050 6441350 8990480 10306160 10563814 11238100 12882700 14047625 16103375 21127628 22476200 25765400 26409535 28095250 32206750 42255256 44952400 51530800 52819070 56190500 64413500 84510512 105638140 112381000 128827000 132047675 211276280 224762000 257654000 264095350 422552560 528190700 660238375 1056381400 1320476750 2112762800 2640953500 5281907000 10563814000