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132342873600 = 2935271925913
BaseRepresentation
bin111101101000000111…
…1111111111000000000
3110122121012110120000010
41323100033333320000
54132014233423400
6140444131024520
712363402602430
oct1732017777000
9418535416003
10132342873600
1151143113803
122179543b140
13c6313ab482
1465966d82c0
1536988a3450
hex1ed03ffe00

132342873600 has 480 divisors, whose sum is σ = 525958836480. Its totient is φ = 28656599040.

The previous prime is 132342873583. The next prime is 132342873601. The reversal of 132342873600 is 6378243231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132342873601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5094244 + ... + 5120156.

It is an arithmetic number, because the mean of its divisors is an integer number (1095747576).

Almost surely, 2132342873600 is an apocalyptic number.

132342873600 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 132342873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262979418240).

132342873600 is an abundant number, since it is smaller than the sum of its proper divisors (393615962880).

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

132342873600 is a wasteful number, since it uses less digits than its factorization.

132342873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25970 (or 25949 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 132342873600 in words is "one hundred thirty-two billion, three hundred forty-two million, eight hundred seventy-three thousand, six hundred".