Search a number
-
+
5061288576 = 27379166841
BaseRepresentation
bin1001011011010110…
…10010001010000000
3111001201201002200110
410231223102022000
540331142213301
62154120551320
7236265146241
oct45553221200
914051632613
105061288576
112167a69023
12b93022540
1362876a216
14360296cc8
151e95110d6
hex12dad2280

5061288576 has 64 divisors (see below), whose sum is σ = 13614307200. Its totient is φ = 1665730560.

The previous prime is 5061288521. The next prime is 5061288581. The reversal of 5061288576 is 6758821605.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 53085 + ... + 113756.

It is an arithmetic number, because the mean of its divisors is an integer number (212723550).

Almost surely, 25061288576 is an apocalyptic number.

It is an amenable number.

5061288576 is an abundant number, since it is smaller than the sum of its proper divisors (8553018624).

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

5061288576 is a wasteful number, since it uses less digits than its factorization.

5061288576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166937 (or 166925 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 5061288576 is about 71142.7338243337. The cubic root of 5061288576 is about 1716.9343914909.

The spelling of 5061288576 in words is "five billion, sixty-one million, two hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 166841 333682 500523 667364 1001046 1334728 2002092 2669456 4004184 5338912 8008368 10677824 13180439 16016736 21355648 26360878 32033472 39541317 52721756 64066944 79082634 105443512 158165268 210887024 316330536 421774048 632661072 843548096 1265322144 1687096192 2530644288 5061288576