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1307538505728 = 21437713401
BaseRepresentation
bin10011000001101111010…
…111100100000000000000
311121222222121101020000000
4103001233113210000000
5132410314324140403
62440401440000000
7163316010630240
oct23015727440000
94558877336000
101307538505728
11464584443114
121914b0000000
13963b9b47b10
14473dc841b20
152402ab617a3
hex1306f5e4000

1307538505728 has 960 divisors, whose sum is σ = 4838988618240. Its totient is φ = 343985356800.

The previous prime is 1307538505723. The next prime is 1307538505769. The reversal of 1307538505728 is 8275058357031.

1307538505728 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 538 + 50 + 57 + 2 + 8 = 666.

It is a super-2 number, since 2×13075385057282 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307538505723) 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, 3260694328 + ... + 3260694728.

It is an arithmetic number, because the mean of its divisors is an integer number (5040613144).

Almost surely, 21307538505728 is an apocalyptic number.

1307538505728 is a gapful number since it is divisible by the number (18) 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 1307538505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419494309120).

1307538505728 is an abundant number, since it is smaller than the sum of its proper divisors (3531450112512).

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

1307538505728 is an frugal number, since it uses more digits than its factorization.

1307538505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 1307538505728 in words is "one trillion, three hundred seven billion, five hundred thirty-eight million, five hundred five thousand, seven hundred twenty-eight".