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132920047332744 = 233723891351328603
BaseRepresentation
bin11110001110001111011100…
…001101000110110110001000
3122102122000212122020020112120
4132032033130031012312020
5114410230224104121434
61150410343214211240
736666104453412360
oct3616173415066610
9572560778206476
10132920047332744
11393970915566a1
1212aa8966ab3b20
1359223caa13609
1424b751671b9a0
15105784ea6d349
hex78e3dc346d88

132920047332744 has 256 divisors, whose sum is σ = 400779659980800. Its totient is φ = 35913904975872.

The previous prime is 132920047332697. The next prime is 132920047332773. The reversal of 132920047332744 is 447233740029231.

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, 4647052347 + ... + 4647080949.

It is an arithmetic number, because the mean of its divisors is an integer number (1565545546800).

Almost surely, 2132920047332744 is an apocalyptic number.

132920047332744 is a gapful number since it is divisible by the number (14) 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 132920047332744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200389829990400).

132920047332744 is an abundant number, since it is smaller than the sum of its proper divisors (267859612648056).

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

132920047332744 is a wasteful number, since it uses less digits than its factorization.

132920047332744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42244 (or 42240 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 132920047332744 in words is "one hundred thirty-two trillion, nine hundred twenty billion, forty-seven million, three hundred thirty-two thousand, seven hundred forty-four".