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269149429120 = 275111317172993
BaseRepresentation
bin1111101010101010001…
…1100101110110000000
3221201201111010122110211
43322222203211312000
513402204223212440
6323351234203504
725305526254115
oct3725243456600
9851644118424
10269149429120
11a4166921830
12441b5723594
131c4c4488740
14d053b6690c
15700406deea
hex3eaa8e5d80

269149429120 has 256 divisors, whose sum is σ = 800394799680. Its totient is φ = 85029027840.

The previous prime is 269149429117. The next prime is 269149429123. The reversal of 269149429120 is 21924941962.

269149429120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (269149429117) and next prime (269149429123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269149429123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1469344 + ... + 1642336.

Almost surely, 2269149429120 is an apocalyptic number.

269149429120 is a gapful number since it is divisible by the number (20) 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 269149429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400197399840).

269149429120 is an abundant number, since it is smaller than the sum of its proper divisors (531245370560).

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

269149429120 is a wasteful number, since it uses less digits than its factorization.

269149429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173053 (or 173041 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 269149429120 in words is "two hundred sixty-nine billion, one hundred forty-nine million, four hundred twenty-nine thousand, one hundred twenty".