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1326307996152 = 2334192971113463
BaseRepresentation
bin10011010011001110000…
…111011111000111111000
311200210102200111010110000
4103103032013133013320
5133212234321334102
62453144131153000
7164552101645536
oct23231607370770
94623380433400
101326307996152
11471536318077
12195069a45760
13980bb608379
144829d535156
152477886701c
hex134ce1df1f8

1326307996152 has 640 divisors, whose sum is σ = 4147469568000. Its totient is φ = 394314117120.

The previous prime is 1326307996141. The next prime is 1326307996201. The reversal of 1326307996152 is 2516997036231.

1326307996152 is a `hidden beast` number, since 1 + 326 + 307 + 9 + 9 + 6 + 1 + 5 + 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 an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2864595873 + ... + 2864596335.

It is an arithmetic number, because the mean of its divisors is an integer number (6480421200).

Almost surely, 21326307996152 is an apocalyptic number.

1326307996152 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 1326307996152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073734784000).

1326307996152 is an abundant number, since it is smaller than the sum of its proper divisors (2821161571848).

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

1326307996152 is a wasteful number, since it uses less digits than its factorization.

1326307996152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 1326307996152 in words is "one trillion, three hundred twenty-six billion, three hundred seven million, nine hundred ninety-six thousand, one hundred fifty-two".