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132259991040 = 2932519417369
BaseRepresentation
bin111101100101101001…
…1110100111000000000
3110122101102111200111200
41323023103310320000
54131332024203130
6140432010341200
712361345242342
oct1731323647000
9418342450450
10132259991040
1151100353921
122177172a800
13c61a17c038
1465896c1292
153691480760
hex1ecb4f4e00

132259991040 has 480 divisors, whose sum is σ = 493988695200. Its totient is φ = 32593674240.

The previous prime is 132259991029. The next prime is 132259991051. The reversal of 132259991040 is 40199952231.

132259991040 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 599 + 9 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (132259991029) and next prime (132259991051).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17944476 + ... + 17951844.

It is an arithmetic number, because the mean of its divisors is an integer number (1029143115).

Almost surely, 2132259991040 is an apocalyptic number.

132259991040 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 132259991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246994347600).

132259991040 is an abundant number, since it is smaller than the sum of its proper divisors (361728704160).

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

132259991040 is a wasteful number, since it uses less digits than its factorization.

132259991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7458 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 132259991040 in words is "one hundred thirty-two billion, two hundred fifty-nine million, nine hundred ninety-one thousand, forty".