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132466640224 = 2541891134443
BaseRepresentation
bin111101101011110100…
…0001000010101100000
3110122220211100112220011
41323113220020111200
54132242424441344
6140504311454304
712366434602162
oct1732750102540
9418824315804
10132466640224
11511a6a68476
122180a987394
13c650c23969
1465a8d14932
1536a469ed34
hex1ed7a08560

132466640224 has 48 divisors (see below), whose sum is σ = 270156494160. Its totient is φ = 63891773440.

The previous prime is 132466640221. The next prime is 132466640231. The reversal of 132466640224 is 422046664231.

It is a super-3 number, since 3×1324666402243 (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 (132466640221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 450454 + ... + 683989.

It is an arithmetic number, because the mean of its divisors is an integer number (5628260295).

Almost surely, 2132466640224 is an apocalyptic number.

It is an amenable number.

132466640224 is an abundant number, since it is smaller than the sum of its proper divisors (137689853936).

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

132466640224 is a wasteful number, since it uses less digits than its factorization.

132466640224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134583 (or 1134575 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 132466640224 in words is "one hundred thirty-two billion, four hundred sixty-six million, six hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 89 164 178 328 356 656 712 1312 1424 2848 3649 7298 14596 29192 58384 116768 1134443 2268886 4537772 9075544 18151088 36302176 46512163 93024326 100965427 186048652 201930854 372097304 403861708 744194608 807723416 1488389216 1615446832 3230893664 4139582507 8279165014 16558330028 33116660056 66233320112 132466640224