Search a number
-
+
159719670208 = 2671983331683
BaseRepresentation
bin1001010011000000001…
…0001100000111000000
3120021021010201220211001
42110300002030013000
510104101213421313
6201212454501344
714353000540120
oct2246002140700
9507233656731
10159719670208
116181165424a
1226b55964854
13120a51680c7
147a325c0c80
15424c066add
hex253008c1c0

159719670208 has 224 divisors, whose sum is σ = 387611965440. Its totient is φ = 63780203520.

The previous prime is 159719670197. The next prime is 159719670211. The reversal of 159719670208 is 802076917951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233849835 + ... + 233850517.

It is an arithmetic number, because the mean of its divisors is an integer number (1730410560).

Almost surely, 2159719670208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159719670208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193805982720).

159719670208 is an abundant number, since it is smaller than the sum of its proper divisors (227892295232).

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

159719670208 is a wasteful number, since it uses less digits than its factorization.

159719670208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 159719670208 in words is "one hundred fifty-nine billion, seven hundred nineteen million, six hundred seventy thousand, two hundred eight".