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1330273264320 = 263457112135979
BaseRepresentation
bin10011010110111010011…
…101110010001011000000
311201011200000211121210000
4103112322131302023000
5133243344423424240
62455041420440000
7165052261115250
oct23267235621300
94634600747700
101330273264320
11473190639800
121959959a9000
13985a0c890b0
1448558007960
152490ba2b430
hex135ba7722c0

1330273264320 has 3360 divisors, whose sum is σ = 6592516761600. Its totient is φ = 247657512960.

The previous prime is 1330273264217. The next prime is 1330273264321. The reversal of 1330273264320 is 234623720331.

1330273264320 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 7 + 3 + 2 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330273264321) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16838902041 + ... + 16838902119.

It is an arithmetic number, because the mean of its divisors is an integer number (1962058560).

Almost surely, 21330273264320 is an apocalyptic number.

1330273264320 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 1330273264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296258380800).

1330273264320 is an abundant number, since it is smaller than the sum of its proper divisors (5262243497280).

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

1330273264320 is a wasteful number, since it uses less digits than its factorization.

1330273264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

Adding to 1330273264320 its reverse (234623720331), we get a palindrome (1564896984651).

The spelling of 1330273264320 in words is "one trillion, three hundred thirty billion, two hundred seventy-three million, two hundred sixty-four thousand, three hundred twenty".