Search a number
-
+
159953190912 = 2183931
BaseRepresentation
bin1001010011110111110…
…1000000000000000000
3120021212102011000000000
42110331331000000000
510110041004102122
6201252000000000
714361534455364
oct2247575000000
9507772130000
10159953190912
1161921451869
1227000000000
131211165aa38
147a5560b2a4
1542627e30ac
hex253df40000

159953190912 has 380 divisors, whose sum is σ = 495329580416. Its totient is φ = 51597803520.

The previous prime is 159953190883. The next prime is 159953190931. The reversal of 159953190912 is 219091359951.

159953190912 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 531 + 90 + 9 + 12 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5159780337 + ... + 5159780367.

Almost surely, 2159953190912 is an apocalyptic number.

159953190912 is a gapful number since it is divisible by the number (12) 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 159953190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247664790208).

159953190912 is an abundant number, since it is smaller than the sum of its proper divisors (335376389504).

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

159953190912 is an frugal number, since it uses more digits than its factorization.

159953190912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 984150, while the sum is 54.

The spelling of 159953190912 in words is "one hundred fifty-nine billion, nine hundred fifty-three million, one hundred ninety thousand, nine hundred twelve".