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132058080000 = 283354711397
BaseRepresentation
bin111101011111101000…
…1100110001100000000
3110121212100120112122000
41322333101212030000
54130423332030000
6140355554544000
712353344105410
oct1727721461400
9417770515560
10132058080000
11510073860a0
1221715b98000
13c5b73a5c52
14656a962640
15367d89a000
hex1ebf466300

132058080000 has 1440 divisors, whose sum is σ = 609938757120. Its totient is φ = 27371520000.

The previous prime is 132058079969. The next prime is 132058080029. The reversal of 132058080000 is 80850231.

It is a happy number.

132058080000 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 580 + 80 + 0 + 0 + 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 332639802 + ... + 332640198.

Almost surely, 2132058080000 is an apocalyptic number.

132058080000 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 132058080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304969378560).

132058080000 is an abundant number, since it is smaller than the sum of its proper divisors (477880677120).

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

132058080000 is an equidigital number, since it uses as much as digits as its factorization.

132058080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 132058080000 in words is "one hundred thirty-two billion, fifty-eight million, eighty thousand".