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132673544640 = 26325721325563
BaseRepresentation
bin111101110001111110…
…1011010000111000000
3110200110020200101101200
41323203331122013000
54133203411412030
6140541022301200
712404526344100
oct1734375320700
9420406611350
10132673544640
11512a283685a
1221868127800
13c684a57800
1465c85b3200
1536b791ed60
hex1ee3f5a1c0

132673544640 has 756 divisors, whose sum is σ = 574925260104. Its totient is φ = 27987628032.

The previous prime is 132673544639. The next prime is 132673544657. The reversal of 132673544640 is 46445376231.

132673544640 is a `hidden beast` number, since 1 + 3 + 2 + 67 + 3 + 544 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23846499 + ... + 23852061.

Almost surely, 2132673544640 is an apocalyptic number.

132673544640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132673544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287462630052).

132673544640 is an abundant number, since it is smaller than the sum of its proper divisors (442251715464).

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

132673544640 is a wasteful number, since it uses less digits than its factorization.

132673544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 132673544640 in words is "one hundred thirty-two billion, six hundred seventy-three million, five hundred forty-four thousand, six hundred forty".