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13496356944 = 24337219231459
BaseRepresentation
bin11001001000111001…
…00001000001010000
31021211120202222012000
430210130201001100
5210120031410234
610111121434000
7655311066300
oct144434410120
937746688160
1013496356944
1157a6383804
122747a9b900
13137117c835
14920653600
1553ecea899
hex324721050

13496356944 has 480 divisors, whose sum is σ = 49532544000. Its totient is φ = 3491921664.

The previous prime is 13496356903. The next prime is 13496357027. The reversal of 13496356944 is 44965369431.

It is a happy number.

13496356944 is a `hidden beast` number, since 1 + 34 + 9 + 6 + 3 + 569 + 44 = 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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9249687 + ... + 9251145.

It is an arithmetic number, because the mean of its divisors is an integer number (103192800).

Almost surely, 213496356944 is an apocalyptic number.

13496356944 is a gapful number since it is divisible by the number (14) 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 13496356944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766272000).

13496356944 is an abundant number, since it is smaller than the sum of its proper divisors (36036187056).

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

13496356944 is a wasteful number, since it uses less digits than its factorization.

13496356944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1513 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 13496356944 in words is "thirteen billion, four hundred ninety-six million, three hundred fifty-six thousand, nine hundred forty-four".