Search a number
-
+
132873000000 = 26356133407
BaseRepresentation
bin111101110111111011…
…0010001010001000000
3110200222010222202201020
41323233312101101000
54134110442000000
6141012505305440
712412500602436
oct1735766212100
9420863882636
10132873000000
11513953875a4
1221902a95280
13c6b7180c30
146606c92d56
1536ca1bcba0
hex1eefd91440

132873000000 has 392 divisors, whose sum is σ = 473386440576. Its totient is φ = 32697600000.

The previous prime is 132872999947. The next prime is 132873000053. The reversal of 132873000000 is 378231.

It is an interprime number because it is at equal distance from previous prime (132872999947) and next prime (132873000053).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 38998297 + ... + 39001703.

Almost surely, 2132873000000 is an apocalyptic number.

132873000000 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 132873000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236693220288).

132873000000 is an abundant number, since it is smaller than the sum of its proper divisors (340513440576).

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

132873000000 is an frugal number, since it uses more digits than its factorization.

132873000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 132873000000 its reverse (378231), we get a palindrome (132873378231).

The spelling of 132873000000 in words is "one hundred thirty-two billion, eight hundred seventy-three million", and thus it is an aban number.