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132662211840 = 28325171315171
BaseRepresentation
bin111101110001101001…
…0001011010100000000
3110200102110100121201100
41323203102023110000
54133143011234330
6140535535334400
712404331123624
oct1734322132400
9420373317640
10132662211840
11512973a6304
1221864381400
13c6825ba402
1465c6ca3184
1536b6932060
hex1ee348b500

132662211840 has 432 divisors, whose sum is σ = 489801888576. Its totient is φ = 33035059200.

The previous prime is 132662211839. The next prime is 132662211887. The reversal of 132662211840 is 48112266231.

It is a happy number.

132662211840 is a `hidden beast` number, since 1 + 3 + 26 + 622 + 1 + 1 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132662211795 and 132662211804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25652455 + ... + 25657625.

It is an arithmetic number, because the mean of its divisors is an integer number (1133800668).

Almost surely, 2132662211840 is an apocalyptic number.

132662211840 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 132662211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244900944288).

132662211840 is an abundant number, since it is smaller than the sum of its proper divisors (357139676736).

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

132662211840 is a wasteful number, since it uses less digits than its factorization.

132662211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 132662211840 in words is "one hundred thirty-two billion, six hundred sixty-two million, two hundred eleven thousand, eight hundred forty".