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132168343860 = 223257222965437
BaseRepresentation
bin111101100010111011…
…0001110000100110100
3110122011001001112012200
41323011312032010310
54131140044000420
6140414534144500
712356153246400
oct1730566160464
9418131045180
10132168343860
1151063647a53
1221746ab2130
13c6041a1437
14657b466100
1536883cab90
hex1ec5d8e134

132168343860 has 216 divisors, whose sum is σ = 468409130280. Its totient is φ = 30077526528.

The previous prime is 132168343849. The next prime is 132168343877. The reversal of 132168343860 is 68343861231.

132168343860 is a `hidden beast` number, since 13 + 216 + 8 + 343 + 86 + 0 = 666.

132168343860 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31802302224 + 100366041636 = 178332^2 + 316806^2 .

It is a super-2 number, since 2×1321683438602 (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1987062 + ... + 2052498.

Almost surely, 2132168343860 is an apocalyptic number.

132168343860 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 132168343860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234204565140).

132168343860 is an abundant number, since it is smaller than the sum of its proper divisors (336240786420).

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

132168343860 is a wasteful number, since it uses less digits than its factorization.

132168343860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65695 (or 65683 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 132168343860 in words is "one hundred thirty-two billion, one hundred sixty-eight million, three hundred forty-three thousand, eight hundred sixty".