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1332983215872 = 28347112812971
BaseRepresentation
bin10011011001011011111…
…111011011011100000000
311201102122220002102110000
4103121123333123130000
5133314422200401442
62500210344240000
7165206365246530
oct23313377333400
94642586072400
101332983215872
11474351302490
12196411470000
1398913548319
1448733cab4c0
1524a198c9d4c
hex1365bfdb700

1332983215872 has 720 divisors, whose sum is σ = 4974797608704. Its totient is φ = 344881152000.

The previous prime is 1332983215871. The next prime is 1332983215877. The reversal of 1332983215872 is 2785123892331.

1332983215872 is a `hidden beast` number, since 1 + 3 + 3 + 29 + 8 + 32 + 1 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332983215871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 448663347 + ... + 448666317.

Almost surely, 21332983215872 is an apocalyptic number.

1332983215872 is a gapful number since it is divisible by the number (12) 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 1332983215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487398804352).

1332983215872 is an abundant number, since it is smaller than the sum of its proper divisors (3641814392832).

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

1332983215872 is a wasteful number, since it uses less digits than its factorization.

1332983215872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3275 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 1332983215872 in words is "one trillion, three hundred thirty-two billion, nine hundred eighty-three million, two hundred fifteen thousand, eight hundred seventy-two".