Search a number
-
+
3301116405060 = 22352316011494137
BaseRepresentation
bin110000000010011001110…
…111101110010101000100
3102200120202110220120000210
4300002121313232111010
5413041141244430220
611004302325035420
7460332512316615
oct60023167562504
912616673816023
103301116405060
111062aa5172691
12453941255b70
131ac3a8a34506
14b5abc407c0c
155ad09e296e0
hex30099dee544

3301116405060 has 96 divisors (see below), whose sum is σ = 9651031794432. Its totient is φ = 841497395200.

The previous prime is 3301116405049. The next prime is 3301116405113. The reversal of 3301116405060 is 605046111033.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1462312 + ... + 2956448.

It is an arithmetic number, because the mean of its divisors is an integer number (100531581192).

Almost surely, 23301116405060 is an apocalyptic number.

3301116405060 is a gapful number since it is divisible by the number (30) 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 3301116405060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825515897216).

3301116405060 is an abundant number, since it is smaller than the sum of its proper divisors (6349915389372).

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

3301116405060 is a wasteful number, since it uses less digits than its factorization.

3301116405060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495773 (or 1495771 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 3301116405060 in words is "three trillion, three hundred one billion, one hundred sixteen million, four hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1601 3202 4803 6404 8005 9606 16010 19212 24015 32020 36823 48030 73646 96060 110469 147292 184115 220938 368230 441876 552345 736460 1104690 1494137 2209380 2988274 4482411 5976548 7470685 8964822 14941370 17929644 22412055 29882740 34365151 44824110 68730302 89648220 103095453 137460604 171825755 206190906 343651510 412381812 515477265 687303020 1030954530 2061909060 2392113337 4784226674 7176340011 9568453348 11960566685 14352680022 23921133370 28705360044 35881700055 47842266740 55018606751 71763400110 110037213502 143526800220 165055820253 220074427004 275093033755 330111640506 550186067510 660223281012 825279101265 1100372135020 1650558202530 3301116405060