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61073043336 = 23337311233449
BaseRepresentation
bin111000111000001111…
…001010111110001000
312211122021201001111000
4320320033022332020
52000034144341321
644020115135000
74261306205634
oct707017127610
9184567631430
1061073043336
11239a0160438
12ba052a4460
1359b3b60186
142d551b5dc4
1518c6a61826
hexe383caf88

61073043336 has 128 divisors (see below), whose sum is σ = 172174320000. Its totient is φ = 20055112704.

The previous prime is 61073043331. The next prime is 61073043379. The reversal of 61073043336 is 63334037016.

61073043336 is a `hidden beast` number, since 6 + 10 + 7 + 304 + 3 + 336 = 666.

61073043336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61073043336.

It is not an unprimeable number, because it can be changed into a prime (61073043331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17705740 + ... + 17709188.

It is an arithmetic number, because the mean of its divisors is an integer number (1345111875).

Almost surely, 261073043336 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 61073043336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86087160000).

61073043336 is an abundant number, since it is smaller than the sum of its proper divisors (111101276664).

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

61073043336 is a wasteful number, since it uses less digits than its factorization.

61073043336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 61073043336 in words is "sixty-one billion, seventy-three million, forty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1123 1314 1752 1971 2246 2628 3369 3449 3942 4492 5256 6738 6898 7884 8984 10107 10347 13476 13796 15768 20214 20694 26952 27592 30321 31041 40428 41388 60642 62082 80856 81979 82776 93123 121284 124164 163958 186246 242568 245937 248328 251777 327916 372492 491874 503554 655832 737811 744984 755331 983748 1007108 1475622 1510662 1967496 2014216 2213433 2265993 2951244 3021324 3873227 4426866 4531986 5902488 6042648 6797979 7746454 8853732 9063972 11619681 13595958 15492908 17707464 18127944 23239362 27191916 30985816 34859043 46478724 54383832 69718086 92957448 104577129 139436172 209154258 278872344 282745571 418308516 565491142 836617032 848236713 1130982284 1696473426 2261964568 2544710139 3392946852 5089420278 6785893704 7634130417 10178840556 15268260834 20357681112 30536521668 61073043336