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132705242496 = 27322316330727
BaseRepresentation
bin111101110010111011…
…0010100110110000000
3110200112110022210200100
41323211312110312000
54133240020224441
6140544113522400
712405362643501
oct1734566246600
9420473283610
10132705242496
1151309716932
1221876873400
13c68b4a5538
1465cc8a4ba8
1536ba5d1cb6
hex1ee5d94d80

132705242496 has 192 divisors, whose sum is σ = 400934027520. Its totient is φ = 42050866176.

The previous prime is 132705242489. The next prime is 132705242507. The reversal of 132705242496 is 694242507231.

132705242496 is a `hidden beast` number, since 1 + 3 + 2 + 70 + 52 + 42 + 496 = 666.

132705242496 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1327052424962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4303485 + ... + 4334211.

It is an arithmetic number, because the mean of its divisors is an integer number (2088198060).

Almost surely, 2132705242496 is an apocalyptic number.

132705242496 is a gapful number since it is divisible by the number (16) 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 132705242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200467013760).

132705242496 is an abundant number, since it is smaller than the sum of its proper divisors (268228785024).

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

132705242496 is a wasteful number, since it uses less digits than its factorization.

132705242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30933 (or 30918 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 132705242496 in words is "one hundred thirty-two billion, seven hundred five million, two hundred forty-two thousand, four hundred ninety-six".