Search a number
-
+
132823657023 = 373210777647
BaseRepresentation
bin111101110110011101…
…0000010101000111111
3110200211201010212212120
41323230322002220333
54134010324011043
6141003543534023
712411331312401
oct1735472025077
9420751125776
10132823657023
115136a545482
12218aa45a313
13c6a9b958c5
1466004cab71
1536c5bc2983
hex1eece82a3f

132823657023 has 24 divisors (see below), whose sum is σ = 181237886208. Its totient is φ = 86518763712.

The previous prime is 132823656907. The next prime is 132823657033. The reversal of 132823657023 is 320756328231.

It is not a de Polignac number, because 132823657023 - 28 = 132823656767 is a prime.

It is a super-3 number, since 3×1328236570233 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132823657033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671786 + ... + 1749432.

It is an arithmetic number, because the mean of its divisors is an integer number (7551578592).

Almost surely, 2132823657023 is an apocalyptic number.

132823657023 is a deficient number, since it is larger than the sum of its proper divisors (48414229185).

132823657023 is an equidigital number, since it uses as much as digits as its factorization.

132823657023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77903 (or 77830 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 132823657023 in words is "one hundred thirty-two billion, eight hundred twenty-three million, six hundred fifty-seven thousand, twenty-three".

Divisors: 1 3 73 107 219 321 5329 7811 15987 23433 77647 232941 570203 1710609 5668231 8308229 17004693 24924687 413780863 606500717 1241342589 1819502151 44274552341 132823657023