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132012156672 = 2835111031873
BaseRepresentation
bin111101011110010001…
…0011010011100000000
3110121202011011101200000
41322330202122130000
54130330103003142
6140351234400000
712352245550224
oct1727442323400
9417664141600
10132012156672
1150a9346a230
1221702730000
13c5aaa17296
14656480a784
15367982814c
hex1ebc89a700

132012156672 has 432 divisors, whose sum is σ = 435017227008. Its totient is φ = 39594147840.

The previous prime is 132012156641. The next prime is 132012156781. The reversal of 132012156672 is 276651210231.

132012156672 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 21 + 566 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 70480728 + ... + 70482600.

Almost surely, 2132012156672 is an apocalyptic number.

132012156672 is a gapful number since it is divisible by the number (12) 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 132012156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217508613504).

132012156672 is an abundant number, since it is smaller than the sum of its proper divisors (303005070336).

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

132012156672 is a wasteful number, since it uses less digits than its factorization.

132012156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 132012156672 in words is "one hundred thirty-two billion, twelve million, one hundred fifty-six thousand, six hundred seventy-two".