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132466644450 = 232527533172503
BaseRepresentation
bin111101101011110100…
…0001001010111100010
3110122220211100202200200
41323113220021113202
54132242430110300
6140504311530030
712366434620410
oct1732750112742
9418824322620
10132466644450
11511a6a70668
122180a989916
13c650c2586a
1465a8d162b0
1536a46a1200
hex1ed7a095e2

132466644450 has 288 divisors, whose sum is σ = 415883310336. Its totient is φ = 29601262080.

The previous prime is 132466644449. The next prime is 132466644463. The reversal of 132466644450 is 54446664231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 132466644396 and 132466644405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52921899 + ... + 52924401.

It is an arithmetic number, because the mean of its divisors is an integer number (1444039272).

Almost surely, 2132466644450 is an apocalyptic number.

132466644450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132466644450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207941655168).

132466644450 is an abundant number, since it is smaller than the sum of its proper divisors (283416665886).

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

132466644450 is a wasteful number, since it uses less digits than its factorization.

132466644450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 132466644450 in words is "one hundred thirty-two billion, four hundred sixty-six million, six hundred forty-four thousand, four hundred fifty".