Search a number
-
+
643064652 = 2232193113023
BaseRepresentation
bin100110010101000…
…110001101001100
31122211001001212100
4212111012031030
52304111032102
6143451035100
721635650026
oct4625061514
91584031770
10643064652
112aaaa1a9a
1215b43ba90
13a32c6339
1461597016
153b6c7a1c
hex2654634c

643064652 has 72 divisors (see below), whose sum is σ = 1717148160. Its totient is φ = 202353120.

The previous prime is 643064533. The next prime is 643064663. The reversal of 643064652 is 256460346.

643064652 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 646 + 5 + 2 = 666.

It is a super-2 number, since 2×6430646522 = 827064293303762208, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211213 + ... + 214235.

It is an arithmetic number, because the mean of its divisors is an integer number (23849280).

Almost surely, 2643064652 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 643064652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

643064652 is an abundant number, since it is smaller than the sum of its proper divisors (1074083508).

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

643064652 is a wasteful number, since it uses less digits than its factorization.

643064652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 643064652 is about 25358.7194471645. The cubic root of 643064652 is about 863.1472263564.

The spelling of 643064652 in words is "six hundred forty-three million, sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 311 342 622 684 933 1244 1866 2799 3023 3732 5598 5909 6046 9069 11196 11818 12092 17727 18138 23636 27207 35454 36276 53181 54414 57437 70908 106362 108828 114874 172311 212724 229748 344622 516933 689244 940153 1033866 1880306 2067732 2820459 3760612 5640918 8461377 11281836 16922754 17862907 33845508 35725814 53588721 71451628 107177442 160766163 214354884 321532326 643064652