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132353274240 = 2736511173741
BaseRepresentation
bin111101101000011011…
…1101011000110000000
3110122121221000222000000
41323100313223012000
54132024414233430
6140445142000000
712363560161125
oct1732067530600
9418557028000
10132353274240
1151148a77980
1221798a16000
13c6335b04b5
146597c4474c
153699759e60
hex1ed0deb180

132353274240 has 1792 divisors, whose sum is σ = 576498565440. Its totient is φ = 28665446400.

The previous prime is 132353274239. The next prime is 132353274241. The reversal of 132353274240 is 42472353231.

132353274240 is a `hidden beast` number, since 1 + 32 + 3 + 532 + 74 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132353274239) and next prime (132353274241).

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 = 132353274195 and 132353274204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132353274241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3228128620 + ... + 3228128660.

Almost surely, 2132353274240 is an apocalyptic number.

132353274240 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 132353274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288249282720).

132353274240 is an abundant number, since it is smaller than the sum of its proper divisors (444145291200).

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

132353274240 is a wasteful number, since it uses less digits than its factorization.

132353274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 132353274240 in words is "one hundred thirty-two billion, three hundred fifty-three million, two hundred seventy-four thousand, two hundred forty".