Search a number
-
+
132580415550 = 235211149353819
BaseRepresentation
bin111101101111001101…
…0001001100000111110
3110200012202102221022010
41323132122021200332
54133011041244200
6140523454232050
712402315636522
oct1733632114076
9420182387263
10132580415550
1151255208570
1221840ab5626
13c66b67b53b
1465ba08dd82
1536ae676150
hex1ede68983e

132580415550 has 96 divisors (see below), whose sum is σ = 358937205120. Its totient is φ = 32118582400.

The previous prime is 132580415537. The next prime is 132580415579. The reversal of 132580415550 is 55514085231.

It is a junction number, because it is equal to n+sod(n) for n = 132580415499 and 132580415508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2436541 + ... + 2490359.

It is an arithmetic number, because the mean of its divisors is an integer number (3738929220).

Almost surely, 2132580415550 is an apocalyptic number.

132580415550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132580415550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179468602560).

132580415550 is an abundant number, since it is smaller than the sum of its proper divisors (226356789570).

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

132580415550 is a wasteful number, since it uses less digits than its factorization.

132580415550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55338 (or 55333 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 132580415550 in words is "one hundred thirty-two billion, five hundred eighty million, four hundred fifteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1493 1650 2986 4479 7465 8958 14930 16423 22395 32846 37325 44790 49269 53819 74650 82115 98538 107638 111975 161457 164230 223950 246345 269095 322914 410575 492690 538190 592009 807285 821150 1184018 1231725 1345475 1614570 1776027 2463450 2690950 2960045 3552054 4036425 5920090 8072850 8880135 14800225 17760270 29600450 44400675 80351767 88801350 160703534 241055301 401758835 482110602 803517670 883869437 1205276505 1767738874 2008794175 2410553010 2651608311 4017588350 4419347185 5303216622 6026382525 8838694370 12052765050 13258041555 22096735925 26516083110 44193471850 66290207775 132580415550