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169326800640 = 2832597151531
BaseRepresentation
bin1001110110110010101…
…0011110111100000000
3121012001200020201012200
42131230222132330000
510233240130110030
6205442044553200
715143035025544
oct2355452367400
9535050221180
10169326800640
11658a1623568
1228997252800
1312c7663c67a
1482a44b7a24
1546106bdd60
hex276ca9ef00

169326800640 has 216 divisors, whose sum is σ = 591896720688. Its totient is φ = 44688015360.

The previous prime is 169326800633. The next prime is 169326800717. The reversal of 169326800640 is 46008623961.

169326800640 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 (45).

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 23 ways as a sum of consecutive naturals, for example, 1041675 + ... + 1193205.

Almost surely, 2169326800640 is an apocalyptic number.

169326800640 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 169326800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295948360344).

169326800640 is an abundant number, since it is smaller than the sum of its proper divisors (422569920048).

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

169326800640 is a wasteful number, since it uses less digits than its factorization.

169326800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151655 (or 151638 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 169326800640 in words is "one hundred sixty-nine billion, three hundred twenty-six million, eight hundred thousand, six hundred forty".