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1393684845696 = 27331121319103131
BaseRepresentation
bin10100010001111110000…
…101110001010010000000
311221020100021220201101000
4110101332011301102000
5140313231310030241
62544125555012000
7202455544504323
oct24217605612200
94836307821330
101393684845696
11498070842400
121a613229a000
13a1568465690
144b651a007ba
15263bda22eb6
hex1447e171480

1393684845696 has 1536 divisors, whose sum is σ = 5214553344000. Its totient is φ = 362946355200.

The previous prime is 1393684845629. The next prime is 1393684845703. The reversal of 1393684845696 is 6965484863931.

1393684845696 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 6 + 8 + 484 + 56 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10638815551 + ... + 10638815681.

It is an arithmetic number, because the mean of its divisors is an integer number (3394891500).

Almost surely, 21393684845696 is an apocalyptic number.

1393684845696 is a gapful number since it is divisible by the number (16) 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 1393684845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607276672000).

1393684845696 is an abundant number, since it is smaller than the sum of its proper divisors (3820868498304).

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

1393684845696 is a wasteful number, since it uses less digits than its factorization.

1393684845696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 1393684845696 in words is "one trillion, three hundred ninety-three billion, six hundred eighty-four million, eight hundred forty-five thousand, six hundred ninety-six".