Search a number
-
+
5717762064 = 2432747120689
BaseRepresentation
bin1010101001100111…
…00010000000010000
3112202110222102000100
411110303202000100
543202221341224
62343211252400
7261456114150
oct52463420020
915673872010
105717762064
1124745892a3
121136a4a100
13701779881
143c3540760
15236e86ac9
hex154ce2010

5717762064 has 120 divisors (see below), whose sum is σ = 18677018880. Its totient is φ = 1598874624.

The previous prime is 5717762023. The next prime is 5717762069. The reversal of 5717762064 is 4602677175.

5717762064 is a `hidden beast` number, since 5 + 7 + 17 + 7 + 620 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5717762069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12969 + ... + 107720.

It is an arithmetic number, because the mean of its divisors is an integer number (155641824).

Almost surely, 25717762064 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 5717762064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9338509440).

5717762064 is an abundant number, since it is smaller than the sum of its proper divisors (12959256816).

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

5717762064 is a wasteful number, since it uses less digits than its factorization.

5717762064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120757 (or 120748 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 5717762064 is about 75615.8849977966. The cubic root of 5717762064 is about 1788.1695408502.

The spelling of 5717762064 in words is "five billion, seven hundred seventeen million, seven hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 5264 5922 6768 7896 11844 15792 23688 47376 120689 241378 362067 482756 724134 844823 965512 1086201 1448268 1689646 1931024 2172402 2534469 2896536 3379292 4344804 5068938 5672383 5793072 6758584 7603407 8689608 10137876 11344766 13517168 15206814 17017149 17379216 20275752 22689532 30413628 34034298 39706681 40551504 45379064 51051447 60827256 68068596 79413362 90758128 102102894 119120043 121654512 136137192 158826724 204205788 238240086 272274384 317653448 357360129 408411576 476480172 635306896 714720258 816823152 952960344 1429440516 1905920688 2858881032 5717762064