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132342402764000 = 25531113499463663
BaseRepresentation
bin11110000101110101011101…
…111001111100110011100000
3122100120210212121001202112202
4132011311131321330303200
5114321244220101422000
61145245132134312332
736606265053530642
oct3605653571746340
9570523777052482
10132342402764000
1139194109223520
1212a14a16ab86a8
1358acab1743450
1424975994da892
1510477e263bdd5
hex785d5de7cce0

132342402764000 has 384 divisors, whose sum is σ = 382778742528000. Its totient is φ = 44333505792000.

The previous prime is 132342402763999. The next prime is 132342402764069. The reversal of 132342402764000 is 467204243231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285196169 + ... + 285659831.

It is an arithmetic number, because the mean of its divisors is an integer number (996819642000).

Almost surely, 2132342402764000 is an apocalyptic number.

132342402764000 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 132342402764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191389371264000).

132342402764000 is an abundant number, since it is smaller than the sum of its proper divisors (250436339764000).

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

132342402764000 is a wasteful number, since it uses less digits than its factorization.

132342402764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464211 (or 464193 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 132342402764000 in words is "one hundred thirty-two trillion, three hundred forty-two billion, four hundred two million, seven hundred sixty-four thousand".