Search a number
-
+
4213714736 = 2471133110333
BaseRepresentation
bin1111101100101000…
…0010111100110000
3101212122211212221202
43323022002330300
532112202332421
61534042310332
7206263661420
oct37312027460
911778755852
104213714736
111872594280
129971b83a8
13521c9b33a
142bd8a6480
15199ddd10b
hexfb282f30

4213714736 has 80 divisors (see below), whose sum is σ = 10210322688. Its totient is φ = 1636588800.

The previous prime is 4213714733. The next prime is 4213714777. The reversal of 4213714736 is 6374173124.

It is a happy number.

4213714736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4213714736.

It is not an unprimeable number, because it can be changed into a prime (4213714733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402626 + ... + 412958.

Almost surely, 24213714736 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 4213714736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105161344).

4213714736 is an abundant number, since it is smaller than the sum of its proper divisors (5996607952).

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

4213714736 is a wasteful number, since it uses less digits than its factorization.

4213714736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 10684 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 4213714736 is about 64913.1322306974. The cubic root of 4213714736 is about 1615.1829084150.

The spelling of 4213714736 in words is "four billion, two hundred thirteen million, seven hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 331 616 662 1232 1324 2317 2648 3641 4634 5296 7282 9268 10333 14564 18536 20666 25487 29128 37072 41332 50974 58256 72331 82664 101948 113663 144662 165328 203896 227326 289324 407792 454652 578648 795641 909304 1157296 1591282 1818608 3182564 3420223 6365128 6840446 12730256 13680892 23941561 27361784 37622453 47883122 54723568 75244906 95766244 150489812 191532488 263357171 300979624 383064976 526714342 601959248 1053428684 2106857368 4213714736