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269552270064 = 243721153196579
BaseRepresentation
bin1111101100001010010…
…0010011101011110000
3221202202120011002100210
43323002210103223300
513404020340120224
6323455224344120
725321520330400
oct3730244235360
9852676132323
10269552270064
11a4353258130
12442a8615040
131c559a8316c
14d09146a800
1570295e4429
hex3ec2913af0

269552270064 has 240 divisors, whose sum is σ = 900348981120. Its totient is φ = 68692216320.

The previous prime is 269552270063. The next prime is 269552270081. The reversal of 269552270064 is 460072255962.

It is a happy number.

269552270064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 269552269995 and 269552270022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269552270063) 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 47 ways as a sum of consecutive naturals, for example, 1272927 + ... + 1469505.

It is an arithmetic number, because the mean of its divisors is an integer number (3751454088).

Almost surely, 2269552270064 is an apocalyptic number.

269552270064 is a gapful number since it is divisible by the number (24) 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 269552270064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450174490560).

269552270064 is an abundant number, since it is smaller than the sum of its proper divisors (630796711056).

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

269552270064 is a wasteful number, since it uses less digits than its factorization.

269552270064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196668 (or 196655 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 269552270064 in words is "two hundred sixty-nine billion, five hundred fifty-two million, two hundred seventy thousand, sixty-four".