Search a number
-
+
5180544576 = 263229992
BaseRepresentation
bin1001101001100100…
…01101011001000000
3111101001002221011100
410310302031121000
541102204411301
62214021014400
7242243621334
oct46462153100
914331087140
105180544576
1122193118a9
121006b54400
136473935bc
1437205b7c4
15204c1b286
hex134c8d640

5180544576 has 63 divisors (see below), whose sum is σ = 14854048651. Its totient is φ = 1726272384.

The previous prime is 5180544569. The next prime is 5180544581. The reversal of 5180544576 is 6754450815.

The square root of 5180544576 is 71976.

It is a perfect power (a square), and thus also a powerful number.

5180544576 is a `hidden beast` number, since 51 + 8 + 0 + 544 + 57 + 6 = 666.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1725925 + ... + 1728923.

Almost surely, 25180544576 is an apocalyptic number.

5180544576 is the 71976-th square number.

It is an amenable number.

5180544576 is an abundant number, since it is smaller than the sum of its proper divisors (9673504075).

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

5180544576 is an frugal number, since it uses more digits than its factorization.

5180544576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The cubic root of 5180544576 is about 1730.3148631136.

The spelling of 5180544576 in words is "five billion, one hundred eighty million, five hundred forty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2999 5998 8997 11996 17994 23992 26991 35988 47984 53982 71976 95968 107964 143952 191936 215928 287904 431856 575808 863712 1727424 8994001 17988002 26982003 35976004 53964006 71952008 80946009 107928012 143904016 161892018 215856024 287808032 323784036 431712048 575616064 647568072 863424096 1295136144 1726848192 2590272288 5180544576