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2327667492672 = 263417237315731
BaseRepresentation
bin100001110111110011110…
…010110100011101000000
322020112010011001010120000
4201313303302310131000
5301114030334231142
64541152104320000
7330111525144354
oct41676362643500
98215104033500
102327667492672
11818181687905
1231714b173000
1313b662440902
1480934349464
154083462214c
hex21df3cb4740

2327667492672 has 560 divisors, whose sum is σ = 7728380491392. Its totient is φ = 688886415360.

The previous prime is 2327667492607. The next prime is 2327667492677. The reversal of 2327667492672 is 2762947667232.

2327667492672 is a `hidden beast` number, since 2 + 3 + 2 + 76 + 6 + 7 + 492 + 6 + 72 = 666.

2327667492672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2327667492677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147959047 + ... + 147974777.

Almost surely, 22327667492672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2327667492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864190245696).

2327667492672 is an abundant number, since it is smaller than the sum of its proper divisors (5400712998720).

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

2327667492672 is a wasteful number, since it uses less digits than its factorization.

2327667492672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15868 (or 15849 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 63.

The spelling of 2327667492672 in words is "two trillion, three hundred twenty-seven billion, six hundred sixty-seven million, four hundred ninety-two thousand, six hundred seventy-two".