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27082487772 = 22321750387977
BaseRepresentation
bin11001001110001111…
…011111011111011100
32120220102110220222200
4121032033133133130
5420431104102042
620235211411500
71646062230204
oct311617373734
976812426880
1027082487772
11105383a39aa
1252b9a53b90
132727b023c2
14144cb95404
15a8792ac4c
hex64e3df7dc

27082487772 has 72 divisors (see below), whose sum is σ = 72630413856. Its totient is φ = 8479478784.

The previous prime is 27082487753. The next prime is 27082487777. The reversal of 27082487772 is 27778428072.

It is a super-2 number, since 2×270824877722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27082487777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263848 + ... + 351824.

It is an arithmetic number, because the mean of its divisors is an integer number (1008755748).

Almost surely, 227082487772 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 27082487772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36315206928).

27082487772 is an abundant number, since it is smaller than the sum of its proper divisors (45547926084).

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

27082487772 is a wasteful number, since it uses less digits than its factorization.

27082487772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88507 (or 88502 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 27082487772 in words is "twenty-seven billion, eighty-two million, four hundred eighty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 503 612 1006 1509 2012 3018 4527 6036 8551 9054 17102 18108 25653 34204 51306 76959 87977 102612 153918 175954 263931 307836 351908 527862 791793 1055724 1495609 1583586 2991218 3167172 4486827 5982436 8973654 13460481 17947308 26920962 44252431 53841924 88504862 132757293 177009724 265514586 398271879 531029172 752291327 796543758 1504582654 1593087516 2256873981 3009165308 4513747962 6770621943 9027495924 13541243886 27082487772