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132231673800 = 23345228572
BaseRepresentation
bin111101100100110011…
…1110011011111001000
3110122022110020000120000
41323021213303133020
54131302302030200
6140425115403000
712360552452652
oct1731147633710
9418273200500
10132231673800
1151096372746
1221764153460
13c614345c85
146585a2d6d2
15368dc3a300
hex1ec99f37c8

132231673800 has 180 divisors, whose sum is σ = 459420998355. Its totient is φ = 35249437440.

The previous prime is 132231673789. The next prime is 132231673817. The reversal of 132231673800 is 8376132231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 70806016836 + 61425656964 = 266094^2 + 247842^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257130.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46281972 + ... + 46284828.

Almost surely, 2132231673800 is an apocalyptic number.

132231673800 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 132231673800

132231673800 is an abundant number, since it is smaller than the sum of its proper divisors (327189324555).

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

132231673800 is an frugal number, since it uses more digits than its factorization.

132231673800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 132231673800 in words is "one hundred thirty-two billion, two hundred thirty-one million, six hundred seventy-three thousand, eight hundred".