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132483909499200 = 26325278936914001
BaseRepresentation
bin11110000111111001010000…
…010111010011100101000000
3122101002100010102221201102100
4132013321100113103211000
5114331104021312433300
61145434133502550400
736622434532116150
oct3607712027234500
9571070112851370
10132483909499200
1139239124078066
1212a38329298400
1358c024351521c
1424a0380ca2760
15104b325788700
hex787e505d3940

132483909499200 has 1008 divisors, whose sum is σ = 544477628522880. Its totient is φ = 29926195200000.

The previous prime is 132483909499177. The next prime is 132483909499229. The reversal of 132483909499200 is 2994909384231.

132483909499200 is a `hidden beast` number, since 1 + 3 + 2 + 483 + 90 + 9 + 49 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33112697200 + ... + 33112701200.

Almost surely, 2132483909499200 is an apocalyptic number.

132483909499200 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 132483909499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272238814261440).

132483909499200 is an abundant number, since it is smaller than the sum of its proper divisors (411993719023680).

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

132483909499200 is a wasteful number, since it uses less digits than its factorization.

132483909499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 132483909499200 in words is "one hundred thirty-two trillion, four hundred eighty-three billion, nine hundred nine million, four hundred ninety-nine thousand, two hundred".