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13389399152640 = 2113357194183107
BaseRepresentation
bin1100001011010111011001…
…1000010101100000000000
31202102000101020201001112000
43002311312120111200000
53223332442140341030
644251001031504000
72551231535652030
oct302656630254000
952360336631460
1013389399152640
1142a2459840615
121602b56828000
137617cbca4ac4
1434409c33b8c0
15183450588860
hexc2d76615800

13389399152640 has 3072 divisors, whose sum is σ = 59915261952000. Its totient is φ = 2768445112320.

The previous prime is 13389399152587. The next prime is 13389399152641. The reversal of 13389399152640 is 4625199398331.

13389399152640 is a `hidden beast` number, since 1 + 3 + 38 + 9 + 39 + 9 + 1 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13389399152641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125134571467 + ... + 125134571573.

It is an arithmetic number, because the mean of its divisors is an integer number (19503666000).

Almost surely, 213389399152640 is an apocalyptic number.

13389399152640 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 13389399152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29957630976000).

13389399152640 is an abundant number, since it is smaller than the sum of its proper divisors (46525862799360).

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

13389399152640 is a wasteful number, since it uses less digits than its factorization.

13389399152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 13389399152640 in words is "thirteen trillion, three hundred eighty-nine billion, three hundred ninety-nine million, one hundred fifty-two thousand, six hundred forty".