Search a number
-
+
5713659864 = 23331116314753
BaseRepresentation
bin1010101001000111…
…11000011111011000
3112202012020222212000
411110203320133120
543200144103424
62342543321000
7261406210323
oct52443703730
915665228760
105713659864
112472237250
1211355b0160
13700971633
143c2b937ba
152369263c9
hex1548f87d8

5713659864 has 128 divisors (see below), whose sum is σ = 17421523200. Its totient is φ = 1720673280.

The previous prime is 5713659827. The next prime is 5713659869. The reversal of 5713659864 is 4689563175.

5713659864 is a `hidden beast` number, since 571 + 3 + 6 + 5 + 9 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5713659864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713659869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379912 + ... + 394664.

It is an arithmetic number, because the mean of its divisors is an integer number (136105650).

Almost surely, 25713659864 is an apocalyptic number.

5713659864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5713659864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710761600).

5713659864 is an abundant number, since it is smaller than the sum of its proper divisors (11707863336).

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

5713659864 is a wasteful number, since it uses less digits than its factorization.

5713659864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942 (or 14932 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5713659864 is about 75588.7548779579. The cubic root of 5713659864 is about 1787.7417986688.

The spelling of 5713659864 in words is "five billion, seven hundred thirteen million, six hundred fifty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 163 198 216 264 297 326 396 489 594 652 792 978 1188 1304 1467 1793 1956 2376 2934 3586 3912 4401 5379 5868 7172 8802 10758 11736 14344 14753 16137 17604 21516 29506 32274 35208 43032 44259 48411 59012 64548 88518 96822 118024 129096 132777 162283 177036 193644 265554 324566 354072 387288 398331 486849 531108 649132 796662 973698 1062216 1298264 1460547 1593324 1947396 2404739 2921094 3186648 3894792 4381641 4809478 5842188 7214217 8763282 9618956 11684376 14428434 17526564 19237912 21642651 26452129 28856868 35053128 43285302 52904258 57713736 64927953 79356387 86570604 105808516 129855906 158712774 173141208 211617032 238069161 259711812 317425548 476138322 519423624 634851096 714207483 952276644 1428414966 1904553288 2856829932 5713659864