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134469171200 = 2115273131931
BaseRepresentation
bin111110100111011111…
…1001011100000000000
3110212002101110122222002
41331032333023200000
54200343101434300
6141435125003132
712500162045000
oct1751677134000
9425071418862
10134469171200
1152034383651
12220895534a8
13c8aca76030
146718c6c000
1537703b25d5
hex1f4efcb800

134469171200 has 1152 divisors, whose sum is σ = 454970880000. Its totient is φ = 39016857600.

The previous prime is 134469171163. The next prime is 134469171227. The reversal of 134469171200 is 2171964431.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4337715185 + ... + 4337715215.

It is an arithmetic number, because the mean of its divisors is an integer number (394940000).

Almost surely, 2134469171200 is an apocalyptic number.

134469171200 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 134469171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440000).

134469171200 is an abundant number, since it is smaller than the sum of its proper divisors (320501708800).

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

134469171200 is a wasteful number, since it uses less digits than its factorization.

134469171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 134469171200 in words is "one hundred thirty-four billion, four hundred sixty-nine million, one hundred seventy-one thousand, two hundred".