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132032505030228 = 22321143103131574657
BaseRepresentation
bin11110000001010100110110…
…100011111010011001010100
3122022111011222021210202120100
4132001110312203322121110
5114301210032241431403
61144450521230334100
736545014362334515
oct3601246643723124
9568434867722510
10132032505030228
1139084742011360
121298494a95a330
1358897c518254a
14248659ba56a0c
15103e7060712a3
hex7815368fa654

132032505030228 has 288 divisors, whose sum is σ = 379046108593152. Its totient is φ = 38404490342400.

The previous prime is 132032505030227. The next prime is 132032505030373. The reversal of 132032505030228 is 822030505230231.

132032505030228 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 325 + 0 + 5 + 0 + 302 + 28 = 666.

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 = 132032505030192 and 132032505030201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132032505030227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229471476 + ... + 230046132.

It is an arithmetic number, because the mean of its divisors is an integer number (1316132321504).

Almost surely, 2132032505030228 is an apocalyptic number.

132032505030228 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 132032505030228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189523054296576).

132032505030228 is an abundant number, since it is smaller than the sum of its proper divisors (247013603562924).

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

132032505030228 is a wasteful number, since it uses less digits than its factorization.

132032505030228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574955 (or 574950 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 132032505030228 in words is "one hundred thirty-two trillion, thirty-two billion, five hundred five million, thirty thousand, two hundred twenty-eight".