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4214512064 = 26714936301
BaseRepresentation
bin1111101100110100…
…0101100111000000
3101212201100101200102
43323031011213000
532112403341224
61534111341532
7206303522120
oct37315054700
911781311612
104214512064
111872a89324
129975218a8
135221ba229
142bda32c80
15199ee94ae
hexfb3459c0

4214512064 has 56 divisors (see below), whose sum is σ = 9565831008. Its totient is φ = 1804723200.

The previous prime is 4214512061. The next prime is 4214512091. The reversal of 4214512064 is 4602154124.

4214512064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×42145120642 = 35524223875203080192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214512061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665714 + ... + 672014.

Almost surely, 24214512064 is an apocalyptic number.

It is an amenable number.

4214512064 is an abundant number, since it is smaller than the sum of its proper divisors (5351318944).

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

4214512064 is a wasteful number, since it uses less digits than its factorization.

4214512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 4214512064 is about 64919.2734401734. The cubic root of 4214512064 is about 1615.2847780968.

Adding to 4214512064 its reverse (4602154124), we get a palindrome (8816666188).

The spelling of 4214512064 in words is "four billion, two hundred fourteen million, five hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1493 2986 5972 6301 10451 11944 12602 20902 23888 25204 41804 44107 47776 50408 83608 88214 95552 100816 167216 176428 201632 334432 352856 403264 668864 705712 1411424 2822848 9407393 18814786 37629572 65851751 75259144 131703502 150518288 263407004 301036576 526814008 602073152 1053628016 2107256032 4214512064