Search a number
-
+
132215217992 = 23112132292312
BaseRepresentation
bin111101100100010100…
…1000001111101001000
3110122021022020222102122
41323020221001331020
54131234043433432
6140423330550412
712360262544564
oct1731051017510
9418238228378
10132215217992
1151088053200
122175a738408
13c610b03b00
1465837886a4
15368c589612
hex1ec8a41f48

132215217992 has 324 divisors, whose sum is σ = 315763111755. Its totient is φ = 51834182400.

The previous prime is 132215217949. The next prime is 132215218049. The reversal of 132215217992 is 299712512231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 21902224036 + 110312993956 = 147994^2 + 332134^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257114.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4265007017 + ... + 4265007047.

Almost surely, 2132215217992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132215217992

132215217992 is an abundant number, since it is smaller than the sum of its proper divisors (183547893763).

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

132215217992 is a wasteful number, since it uses less digits than its factorization.

132215217992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 86 counting only the distinct ones).

The product of its digits is 136080, while the sum is 44.

The spelling of 132215217992 in words is "one hundred thirty-two billion, two hundred fifteen million, two hundred seventeen thousand, nine hundred ninety-two".