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1427237557560 = 2334553157167317
BaseRepresentation
bin10100110001001101111…
…111001101010100111000
312001102221122021002020000
4110301031333031110320
5141340440303320220
63011355222033000
7205054164033603
oct24611577152470
95042848232200
101427237557560
11500319436441
121b0736b78760
13a4784891939
144d115c0933a
15271d44bc390
hex14c4dfcd538

1427237557560 has 640 divisors, whose sum is σ = 4963809755520. Its totient is φ = 367651934208.

The previous prime is 1427237557523. The next prime is 1427237557561. The reversal of 1427237557560 is 657557327241.

1427237557560 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 2 + 3 + 7 + 5 + 575 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1427237557497 and 1427237557506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427237557561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4502326522 + ... + 4502326838.

It is an arithmetic number, because the mean of its divisors is an integer number (7755952743).

Almost surely, 21427237557560 is an apocalyptic number.

1427237557560 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 1427237557560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481904877760).

1427237557560 is an abundant number, since it is smaller than the sum of its proper divisors (3536572197960).

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

1427237557560 is a wasteful number, since it uses less digits than its factorization.

1427237557560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 1427237557560 in words is "one trillion, four hundred twenty-seven billion, two hundred thirty-seven million, five hundred fifty-seven thousand, five hundred sixty".