Search a number
-
+
132998672302080 = 2143513231531949
BaseRepresentation
bin11110001111011000101010…
…100111100100000000000000
3122102220112211010222112001220
4132033120222213210000000
5114413022240102131310
61150510425132155040
740004560040545254
oct3617305247440000
9572815733875056
10132998672302080
11394174692788a2
1212b0004a308a80
13592994acccc00
1424bb254a04264
15105990247a670
hex78f62a9e4000

132998672302080 has 1440 divisors, whose sum is σ = 484928112614400. Its totient is φ = 31068342190080.

The previous prime is 132998672302063. The next prime is 132998672302163. The reversal of 132998672302080 is 80203276899231.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 68239440946 + ... + 68239442894.

It is an arithmetic number, because the mean of its divisors is an integer number (336755633760).

Almost surely, 2132998672302080 is an apocalyptic number.

132998672302080 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 132998672302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242464056307200).

132998672302080 is an abundant number, since it is smaller than the sum of its proper divisors (351929440312320).

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

132998672302080 is a wasteful number, since it uses less digits than its factorization.

132998672302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 132998672302080 in words is "one hundred thirty-two trillion, nine hundred ninety-eight billion, six hundred seventy-two million, three hundred two thousand, eighty".