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132199055040 = 26351379134087
BaseRepresentation
bin111101100011110101…
…1010111111011000000
3110122020011211211000210
41323013223113323000
54131220424230130
6140421552314120
712360005266353
oct1730753277300
9418204754023
10132199055040
1151079a13798
1221755242940
13c60a665030
14658157c29a
15368ae455b0
hex1ec7ad7ec0

132199055040 has 224 divisors, whose sum is σ = 457744250880. Its totient is φ = 32129150976.

The previous prime is 132199054973. The next prime is 132199055063. The reversal of 132199055040 is 40550991231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 132199055040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918877 + ... + 1052963.

It is an arithmetic number, because the mean of its divisors is an integer number (2043501120).

Almost surely, 2132199055040 is an apocalyptic number.

132199055040 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 132199055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228872125440).

132199055040 is an abundant number, since it is smaller than the sum of its proper divisors (325545195840).

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

132199055040 is a wasteful number, since it uses less digits than its factorization.

132199055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134199 (or 134189 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 132199055040 in words is "one hundred thirty-two billion, one hundred ninety-nine million, fifty-five thousand, forty".