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4284850164 = 22371134431019
BaseRepresentation
bin1111111101100101…
…1001111111110100
3102001121200221102020
43333121121333310
532233410201124
61545103113140
7211116424350
oct37731317764
912047627366
104284850164
1118a9760391
129b6ba27b0
135339468ca
142c9102460
151a1290379
hexff659ff4

4284850164 has 96 divisors (see below), whose sum is σ = 11564743680. Its totient is φ = 1209481728.

The previous prime is 4284850139. The next prime is 4284850247. The reversal of 4284850164 is 4610584824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4204447 + ... + 4205465.

It is an arithmetic number, because the mean of its divisors is an integer number (120466080).

Almost surely, 24284850164 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 4284850164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782371840).

4284850164 is an abundant number, since it is smaller than the sum of its proper divisors (7279893516).

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

4284850164 is a wasteful number, since it uses less digits than its factorization.

4284850164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 4284850164 is about 65458.7668994765. The cubic root of 4284850164 is about 1624.2213439033.

The spelling of 4284850164 in words is "four billion, two hundred eighty-four million, eight hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 443 452 678 791 886 1019 1329 1356 1582 1772 2038 2373 2658 3057 3101 3164 4076 4746 5316 6114 6202 7133 9303 9492 12228 12404 14266 18606 21399 28532 37212 42798 50059 85596 100118 115147 150177 200236 230294 300354 345441 350413 451417 460588 600708 690882 700826 806029 902834 1051239 1354251 1381764 1401652 1612058 1805668 2102478 2418087 2708502 3159919 3224116 4204956 4836174 5417004 6319838 9479757 9672348 12639676 18959514 37919028 51010121 102020242 153030363 204040484 306060726 357070847 612121452 714141694 1071212541 1428283388 2142425082 4284850164