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1327072713996 = 22323373113831091
BaseRepresentation
bin10011010011111011101…
…100101001110100001100
311200212101222102211010010
4103103323230221310030
5133220321103321441
62453352045513220
7164610045643611
oct23237354516414
94625358384103
101327072713996
11471898a4a997
12195241b72810
13981b0b86c33
1448332d18508
15247c0a70116
hex134fbb29d0c

1327072713996 has 192 divisors, whose sum is σ = 3340883460096. Its totient is φ = 408918470400.

The previous prime is 1327072713971. The next prime is 1327072713997. The reversal of 1327072713996 is 6993172707231.

It is a super-2 number, since 2×13270727139962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1327072713997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216381411 + ... + 1216382501.

It is an arithmetic number, because the mean of its divisors is an integer number (17400434688).

Almost surely, 21327072713996 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 1327072713996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670441730048).

1327072713996 is an abundant number, since it is smaller than the sum of its proper divisors (2013810746100).

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

1327072713996 is a wasteful number, since it uses less digits than its factorization.

1327072713996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 57.

The spelling of 1327072713996 in words is "one trillion, three hundred twenty-seven billion, seventy-two million, seven hundred thirteen thousand, nine hundred ninety-six".