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60042728704 = 287194341011
BaseRepresentation
bin110111111010110100…
…110101010100000000
312201222110222122111211
4313322310311110000
51440431414304304
643325552015504
74223625526120
oct677264652400
9181873878454
1060042728704
1123511611842
12b778231594
13587b56aa4a
142c98416c80
151866393204
hexdfad35500

60042728704 has 144 divisors (see below), whose sum is σ = 147538209280. Its totient is φ = 23810734080.

The previous prime is 60042728701. The next prime is 60042728719. The reversal of 60042728704 is 40782724006.

60042728704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60042728701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1443559 + ... + 1484569.

Almost surely, 260042728704 is an apocalyptic number.

60042728704 is a gapful number since it is divisible by the number (64) 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 60042728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73769104640).

60042728704 is an abundant number, since it is smaller than the sum of its proper divisors (87495480576).

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

60042728704 is a wasteful number, since it uses less digits than its factorization.

60042728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41096 (or 41082 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The spelling of 60042728704 in words is "sixty billion, forty-two million, seven hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 56 64 76 86 112 128 133 152 172 224 256 266 301 304 344 448 532 602 608 688 817 896 1064 1204 1216 1376 1634 1792 2128 2408 2432 2752 3268 4256 4816 4864 5504 5719 6536 8512 9632 11008 11438 13072 17024 19264 22876 26144 34048 38528 41011 45752 52288 77056 82022 91504 104576 164044 183008 209152 287077 328088 366016 574154 656176 732032 779209 1148308 1312352 1464064 1558418 1763473 2296616 2624704 3116836 3526946 4593232 5249408 5454463 6233672 7053892 9186464 10498816 10908926 12344311 12467344 14107784 18372928 21817852 24688622 24934688 28215568 33505987 36745856 43635704 49377244 49869376 56431136 67011974 73491712 87271408 98754488 99738752 112862272 134023948 174542816 197508976 199477504 225724544 234541909 268047896 349085632 395017952 451449088 469083818 536095792 698171264 790035904 938167636 1072191584 1396342528 1580071808 1876335272 2144383168 3160143616 3752670544 4288766336 7505341088 8577532672 15010682176 30021364352 60042728704