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4227346512 = 243243215877
BaseRepresentation
bin1111101111111000…
…0011000001010000
3101220121111110020100
43323332003001100
532124200042022
61535250412400
7206520565254
oct37376030120
911817443210
104227346512
11187a255004
1299b891100
13524a61c8c
142c1614264
1519b1d21ac
hexfbf83050

4227346512 has 90 divisors (see below), whose sum is σ = 12112992762. Its totient is φ = 1376258688.

The previous prime is 4227346481. The next prime is 4227346573. The reversal of 4227346512 is 2156437224.

4227346512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4227080256 + 266256 = 65016^2 + 516^2 .

It is a super-2 number, since 2×42273465122 = 35740917065037132288, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 258318 + ... + 274194.

Almost surely, 24227346512 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 4227346512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056496381).

4227346512 is an abundant number, since it is smaller than the sum of its proper divisors (7885646250).

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

4227346512 is a wasteful number, since it uses less digits than its factorization.

4227346512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15977 (or 15925 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 4227346512 is about 65018.0475868047. The cubic root of 4227346512 is about 1616.9227913381.

The spelling of 4227346512 in words is "four billion, two hundred twenty-seven million, three hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 5547 6192 7396 11094 14792 15877 16641 22188 29584 31754 33282 44376 47631 63508 66564 88752 95262 127016 133128 142893 190524 254032 266256 285786 381048 571572 682711 762096 1143144 1365422 2048133 2286288 2730844 4096266 5461688 6144399 8192532 10923376 12288798 16385064 24577596 29356573 32770128 49155192 58713146 88069719 98310384 117426292 176139438 234852584 264209157 352278876 469705168 528418314 704557752 1056836628 1409115504 2113673256 4227346512