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13052986246080 = 2633511536738677
BaseRepresentation
bin1011110111110010001010…
…0110111100001111000000
31201012212001001110201102000
42331330202212330033000
53202330003434333310
643432243055424000
72515022111304054
oct275744246741700
951185031421360
1013052986246080
114182816499710
12156990a825000
13738b78305251
14331aa71bbc64
151798112a54c0
hexbdf229bc3c0

13052986246080 has 896 divisors, whose sum is σ = 51947289308160. Its totient is φ = 3058238177280.

The previous prime is 13052986246051. The next prime is 13052986246117. The reversal of 13052986246080 is 8064268925031.

13052986246080 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 9 + 8 + 6 + 24 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337467702 + ... + 337506378.

Almost surely, 213052986246080 is an apocalyptic number.

13052986246080 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 13052986246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25973644654080).

13052986246080 is an abundant number, since it is smaller than the sum of its proper divisors (38894303062080).

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

13052986246080 is a wasteful number, since it uses less digits than its factorization.

13052986246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38834 (or 38818 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13052986246080 in words is "thirteen trillion, fifty-two billion, nine hundred eighty-six million, two hundred forty-six thousand, eighty".