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1318094941680 = 24325111256913241
BaseRepresentation
bin10011001011100100100…
…101001010110111110000
311200000020022011201202100
4103023210211022313300
5133043424301113210
62445305141020400
7164141423100366
oct23134445126760
94600208151670
101318094941680
11469001260750
121935573b4700
13973acbba01a
1447b2084b636
15244477d45c0
hex132e494adf0

1318094941680 has 240 divisors, whose sum is σ = 4829769491040. Its totient is φ = 319488614400.

The previous prime is 1318094941679. The next prime is 1318094941687. The reversal of 1318094941680 is 861494908131.

1318094941680 is a `hidden beast` number, since 1 + 3 + 180 + 9 + 49 + 416 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318094941687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99539860 + ... + 99553100.

It is an arithmetic number, because the mean of its divisors is an integer number (20124039546).

Almost surely, 21318094941680 is an apocalyptic number.

1318094941680 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 1318094941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414884745520).

1318094941680 is an abundant number, since it is smaller than the sum of its proper divisors (3511674549360).

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

1318094941680 is a wasteful number, since it uses less digits than its factorization.

1318094941680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25840 (or 25831 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1318094941680 in words is "one trillion, three hundred eighteen billion, ninety-four million, nine hundred forty-one thousand, six hundred eighty".