Search a number
-
+
5711525064 = 2332723152223
BaseRepresentation
bin1010101000110111…
…01111010011001000
3112202001020112110100
411110123233103020
543144122300224
62342425445400
7261352106400
oct52433572310
915661215410
105711525064
112471009353
121134940860
137003a4a3b
143c2799800
15236653ac9
hex1546ef4c8

5711525064 has 144 divisors (see below), whose sum is σ = 18575032320. Its totient is φ = 1579193280.

The previous prime is 5711525063. The next prime is 5711525101. The reversal of 5711525064 is 4605251175.

5711525064 is a `hidden beast` number, since 5 + 71 + 1 + 525 + 0 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5711525063) 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 35 ways as a sum of consecutive naturals, for example, 83257 + ... + 135479.

It is an arithmetic number, because the mean of its divisors is an integer number (128993280).

Almost surely, 25711525064 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 5711525064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287516160).

5711525064 is an abundant number, since it is smaller than the sum of its proper divisors (12863507256).

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

5711525064 is a wasteful number, since it uses less digits than its factorization.

5711525064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52280 (or 52266 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5711525064 is about 75574.6324106178. The cubic root of 5711525064 is about 1787.5191190613.

The spelling of 5711525064 in words is "five billion, seven hundred eleven million, five hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 52223 54684 104446 109368 156669 208892 313338 365561 417784 470007 626676 731122 940014 1096683 1253352 1462244 1618913 1880028 2193366 2558927 2924488 3237826 3290049 3760056 4386732 4856739 5117854 6475652 6580098 7676781 8773464 9713478 10235708 11332391 12951304 13160196 14570217 15353562 19426956 20471416 22664782 23030343 26320392 29140434 30707124 33997173 38853912 45329564 46060686 58280868 61414248 67994346 79326737 90659128 92121372 101991519 116561736 135988692 158653474 184242744 203983038 237980211 271977384 317306948 407966076 475960422 634613896 713940633 815932152 951920844 1427881266 1903841688 2855762532 5711525064