Search a number
-
+
169235728704 = 26377199091
BaseRepresentation
bin1001110110011100111…
…1000100100101000000
3121011211022212210000000
42131213033010211000
510233043321304304
6205425033000000
715140550646650
oct2354717044500
9534738783000
10169235728704
116585517a8a9
1228970853000
1312c60803853
14829636c360
1546076ce939
hex27673c4940

169235728704 has 448 divisors, whose sum is σ = 605978163200. Its totient is φ = 45803128320.

The previous prime is 169235728693. The next prime is 169235728759. The reversal of 169235728704 is 407827532961.

It is a happy number.

169235728704 is a `hidden beast` number, since 1 + 6 + 9 + 2 + 357 + 287 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18611199 + ... + 18620289.

It is a 1-persistent number, because it is pandigital, but 2⋅169235728704 = 338471457408 is not.

Almost surely, 2169235728704 is an apocalyptic number.

169235728704 is a gapful number since it is divisible by the number (14) 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 169235728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302989081600).

169235728704 is an abundant number, since it is smaller than the sum of its proper divisors (436742434496).

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

169235728704 is an frugal number, since it uses more digits than its factorization.

169235728704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 169235728704 in words is "one hundred sixty-nine billion, two hundred thirty-five million, seven hundred twenty-eight thousand, seven hundred four".