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56349063216 = 24325313953117
BaseRepresentation
bin110100011110101010…
…100111100000110000
312101110001201000000100
4310132222213200300
51410400330010331
641515243552400
74033245064065
oct643652474060
9171401630010
1056349063216
1121996639236
12ab0722b700
135410254474
142a27a44c6c
1516ebe7dae6
hexd1eaa7830

56349063216 has 120 divisors (see below), whose sum is σ = 161833548240. Its totient is φ = 18295699968.

The previous prime is 56349063137. The next prime is 56349063223. The reversal of 56349063216 is 61236094365.

56349063216 is a `hidden beast` number, since 5 + 6 + 3 + 4 + 9 + 0 + 632 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1034290 + ... + 1087406.

It is an arithmetic number, because the mean of its divisors is an integer number (1348612902).

Almost surely, 256349063216 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 56349063216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80916774120).

56349063216 is an abundant number, since it is smaller than the sum of its proper divisors (105484485024).

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

56349063216 is a wasteful number, since it uses less digits than its factorization.

56349063216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53323 (or 53314 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 56349063216 in words is "fifty-six billion, three hundred forty-nine million, sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 139 144 159 212 278 318 417 424 477 556 636 834 848 954 1112 1251 1272 1668 1908 2224 2502 2544 3336 3816 5004 6672 7367 7632 10008 14734 20016 22101 29468 44202 53117 58936 66303 88404 106234 117872 132606 159351 176808 212468 265212 318702 353616 424936 478053 530424 637404 849872 956106 1060848 1274808 1912212 2549616 2815201 3824424 5630402 7383263 7648848 8445603 11260804 14766526 16891206 22149789 22521608 25336809 29533052 33782412 44299578 45043216 50673618 59066104 66449367 67564824 88599156 101347236 118132208 132898734 135129648 177198312 202694472 265797468 354396624 391312939 405388944 531594936 782625878 1063189872 1173938817 1565251756 2347877634 3130503512 3521816451 4695755268 6261007024 7043632902 9391510536 14087265804 18783021072 28174531608 56349063216