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132453028608 = 28317193714431
BaseRepresentation
bin111101101011011010…
…0001101001100000000
3110122212212202000021020
41323112310031030000
54132230433403413
6140503104025440
712366211111155
oct1732664151400
9418785660236
10132453028608
115119a3108aa
1221806302280
13c64b169254
1465a71b022c
1536a33b1c23
hex1ed6d0d300

132453028608 has 288 divisors, whose sum is σ = 403546429440. Its totient is φ = 38300221440.

The previous prime is 132453028607. The next prime is 132453028619. The reversal of 132453028608 is 806820354231.

It is a self number, because there is not a number n which added to its sum of digits gives 132453028608.

It is not an unprimeable number, because it can be changed into a prime (132453028601) 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 31 ways as a sum of consecutive naturals, for example, 9171153 + ... + 9185583.

It is an arithmetic number, because the mean of its divisors is an integer number (1401202880).

Almost surely, 2132453028608 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 132453028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201773214720).

132453028608 is an abundant number, since it is smaller than the sum of its proper divisors (271093400832).

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

132453028608 is a wasteful number, since it uses less digits than its factorization.

132453028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14523 (or 14509 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 132453028608 in words is "one hundred thirty-two billion, four hundred fifty-three million, twenty-eight thousand, six hundred eight".