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132092441653248 = 212344761138869
BaseRepresentation
bin11110000010001100101011…
…000011111111000000000000
3122022200220200101010200110000
4132002030223003333000000
5114303200310030400443
61144534232512240000
736552235562251626
oct3602145303770000
9568626611120400
10132092441653248
11390a80a974134a
1212994497540000
13589235774c65b
142489445d2d516
151041062e558d3
hex78232b0ff000

132092441653248 has 520 divisors, whose sum is σ = 409603499680320. Its totient is φ = 42387224002560.

The previous prime is 132092441653213. The next prime is 132092441653259. The reversal of 132092441653248 is 842356144290231.

132092441653248 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 9 + 24 + 41 + 6 + 532 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132092441653194 and 132092441653203.

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 39 ways as a sum of consecutive naturals, for example, 951132358 + ... + 951271226.

Almost surely, 2132092441653248 is an apocalyptic number.

132092441653248 is a gapful number since it is divisible by the number (18) 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 132092441653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204801749840160).

132092441653248 is an abundant number, since it is smaller than the sum of its proper divisors (277511058027072).

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

132092441653248 is an equidigital number, since it uses as much as digits as its factorization.

132092441653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139013 (or 138982 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 132092441653248 in words is "one hundred thirty-two trillion, ninety-two billion, four hundred forty-one million, six hundred fifty-three thousand, two hundred forty-eight".