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13161688531200 = 283352118977801
BaseRepresentation
bin1011111110000111000111…
…0001010000000100000000
31201121020121200222221122000
42333201301301100010000
53211120114230444300
643554221330544000
72525620624422156
oct277416161200400
951536550887560
1013161688531200
114214928062390
1215869a6a38000
137461ac9b7311
14337059cb73d6
1517c5744aec00
hexbf871c50100

13161688531200 has 864 divisors, whose sum is σ = 53242336022400. Its totient is φ = 3154821120000.

The previous prime is 13161688531139. The next prime is 13161688531219. The reversal of 13161688531200 is 213588616131.

13161688531200 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 16 + 88 + 531 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×131616885312002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 169132300 + ... + 169210100.

It is an arithmetic number, because the mean of its divisors is an integer number (61623074100).

Almost surely, 213161688531200 is an apocalyptic number.

13161688531200 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 13161688531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26621168011200).

13161688531200 is an abundant number, since it is smaller than the sum of its proper divisors (40080647491200).

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

13161688531200 is a wasteful number, since it uses less digits than its factorization.

13161688531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77936 (or 77911 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13161688531200 in words is "thirteen trillion, one hundred sixty-one billion, six hundred eighty-eight million, five hundred thirty-one thousand, two hundred".