Search a number
-
+
82477427560 = 235111910792203
BaseRepresentation
bin100110011010000001…
…0011010101101101000
321212212222211102201021
41030310002122231220
52322403210140220
6101520053302224
75646603365323
oct1146402325550
9255788742637
1082477427560
1131a843a3080
1213b99634974
137a1548cc98
143dc5bd17ba
15222ac3b4aa
hex133409ab68

82477427560 has 128 divisors (see below), whose sum is σ = 215093491200. Its totient is φ = 28147426560.

The previous prime is 82477427551. The next prime is 82477427569. The reversal of 82477427560 is 6572477428.

It is an interprime number because it is at equal distance from previous prime (82477427551) and next prime (82477427569).

It is a junction number, because it is equal to n+sod(n) for n = 82477427498 and 82477427507.

It is not an unprimeable number, because it can be changed into a prime (82477427569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848419 + ... + 940621.

It is an arithmetic number, because the mean of its divisors is an integer number (1680417900).

Almost surely, 282477427560 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 82477427560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107546745600).

82477427560 is an abundant number, since it is smaller than the sum of its proper divisors (132616063640).

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

82477427560 is a wasteful number, since it uses less digits than its factorization.

82477427560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92351 (or 92347 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 82477427560 in words is "eighty-two billion, four hundred seventy-seven million, four hundred twenty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 107 110 152 190 209 214 220 380 418 428 440 535 760 836 856 1045 1070 1177 1672 2033 2090 2140 2354 4066 4180 4280 4708 5885 8132 8360 9416 10165 11770 16264 20330 22363 23540 40660 44726 47080 81320 89452 92203 111815 178904 184406 223630 368812 447260 461015 737624 894520 922030 1014233 1751857 1844060 2028466 3503714 3688120 4056932 5071165 7007428 8113864 8759285 9865721 10142330 14014856 17518570 19270427 19731442 20284660 35037140 38540854 39462884 40569320 49328605 70074280 77081708 78925768 96352135 98657210 108522931 154163416 187448699 192704270 197314420 217045862 374897398 385408540 394628840 434091724 542614655 749794796 770817080 868183448 937243495 1085229310 1499589592 1874486990 2061935689 2170458620 3748973980 4123871378 4340917240 7497947960 8247742756 10309678445 16495485512 20619356890 41238713780 82477427560