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61551920736 = 2534130718169
BaseRepresentation
bin111001010100110001…
…111100011001100000
312212212122210112210000
4321110301330121200
52002024242430421
644135423140000
74306212456645
oct712461743140
9185778715700
1061551920736
1124116500089
12bb19744600
135a5c12ab97
142d9ca2ddcc
151903b06226
hexe54c7c660

61551920736 has 120 divisors (see below), whose sum is σ = 181170962280. Its totient is φ = 20500480512.

The previous prime is 61551920659. The next prime is 61551920767. The reversal of 61551920736 is 63702915516.

61551920736 is a `hidden beast` number, since 6 + 1 + 551 + 9 + 20 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61551920691 and 61551920700.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3378660 + ... + 3396828.

It is an arithmetic number, because the mean of its divisors is an integer number (1509758019).

Almost surely, 261551920736 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 61551920736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90585481140).

61551920736 is an abundant number, since it is smaller than the sum of its proper divisors (119619041544).

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

61551920736 is a wasteful number, since it uses less digits than its factorization.

61551920736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498 (or 19481 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 61551920736 in words is "sixty-one billion, five hundred fifty-one million, nine hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1307 2592 2614 3921 5228 7842 10456 11763 15684 18169 20912 23526 31368 35289 36338 41824 47052 54507 62736 70578 72676 94104 105867 109014 125472 141156 145352 163521 188208 211734 218028 282312 290704 327042 376416 423468 436056 490563 564624 581408 654084 846936 872112 981126 1129248 1308168 1471689 1693872 1744224 1962252 2616336 2943378 3387744 3924504 5232672 5886756 7849008 11773512 15698016 23547024 23746883 47094048 47493766 71240649 94987532 142481298 189975064 213721947 284962596 379950128 427443894 569925192 641165841 759900256 854887788 1139850384 1282331682 1709775576 1923497523 2279700768 2564663364 3419551152 3846995046 5129326728 6839102304 7693990092 10258653456 15387980184 20517306912 30775960368 61551920736