Search a number
-
+
5314256064 = 263213709703
BaseRepresentation
bin1001111001100000…
…10001110011000000
3111201100201011211200
410330300101303000
541340422143224
62235154541200
7245456300625
oct47460216300
914640634750
105314256064
112287839267
121043897800
13668cab520
14385b0634c
1521182e5c9
hex13cc11cc0

5314256064 has 84 divisors (see below), whose sum is σ = 16404098256. Its totient is φ = 1635153408.

The previous prime is 5314256027. The next prime is 5314256081. The reversal of 5314256064 is 4606524135.

5314256064 is a `hidden beast` number, since 5 + 3 + 1 + 42 + 5 + 606 + 4 = 666.

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 11 ways as a sum of consecutive naturals, for example, 347364 + ... + 362339.

It is an arithmetic number, because the mean of its divisors is an integer number (195286884).

Almost surely, 25314256064 is an apocalyptic number.

It is an amenable number.

5314256064 is an abundant number, since it is smaller than the sum of its proper divisors (11089842192).

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

5314256064 is a wasteful number, since it uses less digits than its factorization.

5314256064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709734 (or 709721 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5314256064 is about 72898.9441898852. The cubic root of 5314256064 is about 1745.0752494486.

The spelling of 5314256064 in words is "five billion, three hundred fourteen million, two hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 709703 1419406 2129109 2838812 4258218 5677624 6387327 8516436 9226139 11355248 12774654 17032872 18452278 22710496 25549308 27678417 34065744 36904556 45420992 51098616 55356834 68131488 73809112 83035251 102197232 110713668 136262976 147618224 166070502 204394464 221427336 295236448 332141004 408788928 442854672 590472896 664282008 885709344 1328564016 1771418688 2657128032 5314256064