Search a number
-
+
27827061320 = 23517139929251
BaseRepresentation
bin11001111010100111…
…110100001001001000
32122211022112011212202
4121322213310021020
5423442211430240
620441130255332
72003403055442
oct317247641110
978738464782
1027827061320
111088a718043
125487287548
132816149c76
1414bda13492
15accea5315
hex67a9f4248

27827061320 has 64 divisors (see below), whose sum is σ = 66343536000. Its totient is φ = 10468224000.

The previous prime is 27827061319. The next prime is 27827061407. The reversal of 27827061320 is 2316072872.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 936695 + ... + 965945.

It is an arithmetic number, because the mean of its divisors is an integer number (1036617750).

Almost surely, 227827061320 is an apocalyptic number.

27827061320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27827061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33171768000).

27827061320 is an abundant number, since it is smaller than the sum of its proper divisors (38516474680).

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

27827061320 is a wasteful number, since it uses less digits than its factorization.

27827061320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30678 (or 30674 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 27827061320 in words is "twenty-seven billion, eight hundred twenty-seven million, sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1399 2798 5596 6995 11192 13990 23783 27980 29251 47566 55960 58502 95132 117004 118915 146255 190264 234008 237830 292510 475660 497267 585020 951320 994534 1170040 1989068 2486335 3978136 4972670 9945340 19890680 40922149 81844298 163688596 204610745 327377192 409221490 695676533 818442980 1391353066 1636885960 2782706132 3478382665 5565412264 6956765330 13913530660 27827061320