Search a number
-
+
132861509820 = 22335133532113
BaseRepresentation
bin111101110111100101…
…0011100000010111100
3110200221100101000011000
41323233022130002330
54134100021303240
6141011415130300
712412301125404
oct1735712340274
9420840330130
10132861509820
1151389949886
12218bb073990
13c6b498a000
146605541804
1536c919d430
hex1eef29c0bc

132861509820 has 384 divisors, whose sum is σ = 456441350400. Its totient is φ = 32072122368.

The previous prime is 132861509819. The next prime is 132861509821. The reversal of 132861509820 is 28905168231.

132861509820 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 61 + 509 + 82 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132861509819) and next prime (132861509821).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132861509821) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62877084 + ... + 62879196.

It is an arithmetic number, because the mean of its divisors is an integer number (1188649350).

Almost surely, 2132861509820 is an apocalyptic number.

132861509820 is a gapful number since it is divisible by the number (10) 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 132861509820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228220675200).

132861509820 is an abundant number, since it is smaller than the sum of its proper divisors (323579840580).

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

132861509820 is a wasteful number, since it uses less digits than its factorization.

132861509820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 132861509820 in words is "one hundred thirty-two billion, eight hundred sixty-one million, five hundred nine thousand, eight hundred twenty".