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4066805016 = 2333181104021
BaseRepresentation
bin1111001001100110…
…1000010100011000
3101111102102002201000
43302121220110120
531312100230031
61511313425000
7202531162251
oct36231502430
911442362630
104066805016
1117a767288a
12955b6b160
134ca711c01
142a8183b28
1518c06e3e6
hexf2668518

4066805016 has 64 divisors (see below), whose sum is σ = 11359202400. Its totient is φ = 1348099200.

The previous prime is 4066805009. The next prime is 4066805081. The reversal of 4066805016 is 6105086604.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12915 + ... + 91106.

Almost surely, 24066805016 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 4066805016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679601200).

4066805016 is an abundant number, since it is smaller than the sum of its proper divisors (7292397384).

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

4066805016 is a wasteful number, since it uses less digits than its factorization.

4066805016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104217 (or 104207 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4066805016 is about 63771.5063017959. The cubic root of 4066805016 is about 1596.1895020618.

The spelling of 4066805016 in words is "four billion, sixty-six million, eight hundred five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 3258 4344 4887 6516 9774 13032 19548 39096 104021 208042 312063 416084 624126 832168 936189 1248252 1872378 2496504 2808567 3744756 5617134 7489512 11234268 18827801 22468536 37655602 56483403 75311204 112966806 150622408 169450209 225933612 338900418 451867224 508350627 677800836 1016701254 1355601672 2033402508 4066805016