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13197368344160 = 25572111329405917
BaseRepresentation
bin1100000000001100000001…
…1100111011111001100000
31201201122201021212020122002
43000003000130323321200
53212211202244003120
644022442021103132
72531323043011400
oct300030034737140
951648637766562
1013197368344160
114228a77414a10
1215918a3b57aa8
137496779cca90
14338a827c4800
1517d461a76375
hexc00c073be60

13197368344160 has 576 divisors, whose sum is σ = 44079382509120. Its totient is φ = 3666103418880.

The previous prime is 13197368344129. The next prime is 13197368344163. The reversal of 13197368344160 is 6144386379131.

It is a super-2 number, since 2×131973683441602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 13197368344096 and 13197368344105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13197368344163) 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 95 ways as a sum of consecutive naturals, for example, 32309522 + ... + 32715438.

It is an arithmetic number, because the mean of its divisors is an integer number (76526705745).

Almost surely, 213197368344160 is an apocalyptic number.

13197368344160 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 13197368344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22039691254560).

13197368344160 is an abundant number, since it is smaller than the sum of its proper divisors (30882014164960).

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

13197368344160 is a wasteful number, since it uses less digits than its factorization.

13197368344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405999 (or 405984 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 13197368344160 in words is "thirteen trillion, one hundred ninety-seven billion, three hundred sixty-eight million, three hundred forty-four thousand, one hundred sixty".