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132456211008 = 263111723295531
BaseRepresentation
bin111101101011100000…
…0010110001001000000
3110122220002201200200220
41323113000112021000
54132232242223013
6140503300143040
712366250134252
oct1732700261100
9418802650626
10132456211008
11511a1094890
1221807397a80
13c64ba11924
1465a779bcd2
1536a37deb23
hex1ed7016240

132456211008 has 448 divisors, whose sum is σ = 437051013120. Its totient is φ = 34882355200.

The previous prime is 132456211007. The next prime is 132456211033. The reversal of 132456211008 is 800112654231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 132456211008.

It is not an unprimeable number, because it can be changed into a prime (132456211007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23945203 + ... + 23950733.

Almost surely, 2132456211008 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 132456211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218525506560).

132456211008 is an abundant number, since it is smaller than the sum of its proper divisors (304594802112).

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

132456211008 is a wasteful number, since it uses less digits than its factorization.

132456211008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 132456211008 its reverse (800112654231), we get a palindrome (932568865239).

The spelling of 132456211008 in words is "one hundred thirty-two billion, four hundred fifty-six million, two hundred eleven thousand, eight".