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1326022427520 = 27335719230367
BaseRepresentation
bin10011010010111101000…
…110001000001110000000
311200202200210010201221000
4103102331012020032000
5133211143220140040
62453055530332000
7164542033443120
oct23227506101600
94622623121830
101326022427520
114713aa10013a
12194baa28a000
13980743c114b
144827363ac80
152475d759130
hex134bd188380

1326022427520 has 768 divisors, whose sum is σ = 5664773836800. Its totient is φ = 287129235456.

The previous prime is 1326022427473. The next prime is 1326022427557. The reversal of 1326022427520 is 257242206231.

1326022427520 is a `hidden beast` number, since 1 + 3 + 2 + 602 + 2 + 4 + 27 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43651377 + ... + 43681743.

It is an arithmetic number, because the mean of its divisors is an integer number (7376007600).

Almost surely, 21326022427520 is an apocalyptic number.

1326022427520 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 1326022427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832386918400).

1326022427520 is an abundant number, since it is smaller than the sum of its proper divisors (4338751409280).

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

1326022427520 is a wasteful number, since it uses less digits than its factorization.

1326022427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30440 (or 30403 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1326022427520 in words is "one trillion, three hundred twenty-six billion, twenty-two million, four hundred twenty-seven thousand, five hundred twenty".