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132079196160 = 2113451721929
BaseRepresentation
bin111101100000010001…
…0001001100000000000
3110121220211022100120000
41323000202021200000
54130444233234120
6140402031320000
712354021433512
oct1730042114000
9417824270500
10132079196160
1151018298a6a
1221721080000
13c5bb88a412
14656d69bbb2
15368066b990
hex1ec0889800

132079196160 has 1440 divisors, whose sum is σ = 547621074000. Its totient is φ = 30321672192.

The previous prime is 132079196153. The next prime is 132079196191. The reversal of 132079196160 is 61691970231.

132079196160 is a `hidden beast` number, since 1 + 3 + 20 + 7 + 9 + 1 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4554455026 + ... + 4554455054.

Almost surely, 2132079196160 is an apocalyptic number.

132079196160 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 132079196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273810537000).

132079196160 is an abundant number, since it is smaller than the sum of its proper divisors (415541877840).

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

132079196160 is a wasteful number, since it uses less digits than its factorization.

132079196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 132079196160 in words is "one hundred thirty-two billion, seventy-nine million, one hundred ninety-six thousand, one hundred sixty".