Search a number
-
+
82133101780 = 225163115321851
BaseRepresentation
bin100110001111110000…
…0111010110011010100
321211222222220212112121
41030133200322303110
52321202033224110
6101421553225324
75635222563142
oct1143740726324
9254888825477
1082133101780
1131917aa4014
1213b02262244
13798c042712
143d921a0592
15220a8c3cda
hex131f83acd4

82133101780 has 48 divisors (see below), whose sum is σ = 173696128704. Its totient is φ = 32621875200.

The previous prime is 82133101693. The next prime is 82133101781. The reversal of 82133101780 is 8710133128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82133101781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3747855 + ... + 3769705.

It is an arithmetic number, because the mean of its divisors is an integer number (3618669348).

Almost surely, 282133101780 is an apocalyptic number.

It is an amenable number.

82133101780 is an abundant number, since it is smaller than the sum of its proper divisors (91563026924).

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

82133101780 is a wasteful number, since it uses less digits than its factorization.

82133101780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23176 (or 23174 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 82133101780 in words is "eighty-two billion, one hundred thirty-three million, one hundred one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 163 326 652 815 1153 1630 2306 3260 4612 5765 11530 21851 23060 43702 87404 109255 187939 218510 375878 437020 751756 939695 1879390 3561713 3758780 7123426 14246852 17808565 25194203 35617130 50388406 71234260 100776812 125971015 251942030 503884060 4106655089 8213310178 16426620356 20533275445 41066550890 82133101780