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56663326176 = 2533722411789
BaseRepresentation
bin110100110001011001…
…011011110111100000
312102020222001012202020
4310301121123313200
51412021302414201
642010351421440
74044112216452
oct646131336740
9172228035666
1056663326176
1122037a74696
12ab94524880
1354603a7292
142a5768c2d2
151719858a36
hexd3165bde0

56663326176 has 144 divisors (see below), whose sum is σ = 153590033520. Its totient is φ = 18290810880.

The previous prime is 56663326151. The next prime is 56663326199. The reversal of 56663326176 is 67162336665.

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 23 ways as a sum of consecutive naturals, for example, 31672290 + ... + 31674078.

It is an arithmetic number, because the mean of its divisors is an integer number (1066597455).

Almost surely, 256663326176 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 56663326176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76795016760).

56663326176 is an abundant number, since it is smaller than the sum of its proper divisors (96926707344).

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

56663326176 is a wasteful number, since it uses less digits than its factorization.

56663326176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2072 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The spelling of 56663326176 in words is "fifty-six billion, six hundred sixty-three million, three hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 241 296 444 482 592 723 888 964 1184 1369 1446 1776 1789 1928 2738 2892 3552 3578 3856 4107 5367 5476 5784 7156 7712 8214 8917 10734 10952 11568 14312 16428 17834 21468 21904 23136 26751 28624 32856 35668 42936 43808 53502 57248 65712 66193 71336 85872 107004 131424 132386 142672 171744 198579 214008 264772 285344 329929 397158 428016 431149 529544 659858 794316 856032 862298 989787 1059088 1293447 1319716 1588632 1724596 1979574 2118176 2449141 2586894 2639432 3177264 3449192 3959148 4898282 5173788 5278864 6354528 6898384 7347423 7918296 9796564 10347576 10557728 13796768 14694846 15836592 15952513 19593128 20695152 29389692 31673184 31905026 39186256 41390304 47857539 58779384 63810052 78372512 95715078 117558768 127620104 191430156 235117536 255240208 382860312 510480416 590242981 765720624 1180485962 1531441248 1770728943 2360971924 3541457886 4721943848 7082915772 9443887696 14165831544 18887775392 28331663088 56663326176