Search a number
-
+
152115354112 = 294714994217
BaseRepresentation
bin1000110110101011001…
…0000001101000000000
3112112122011212122012011
42031222302001220000
54443013012312422
6153514131542304
713663363114261
oct2155262015000
9475564778164
10152115354112
115956a173a97
122559315a994
13114628b4b97
1475106b6968
153e5467b077
hex236ac81a00

152115354112 has 80 divisors (see below), whose sum is σ = 310681008000. Its totient is φ = 74372128768.

The previous prime is 152115354109. The next prime is 152115354161. The reversal of 152115354112 is 211453511251.

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 7 ways as a sum of consecutive naturals, for example, 36069828 + ... + 36074044.

It is an arithmetic number, because the mean of its divisors is an integer number (3883512600).

Almost surely, 2152115354112 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 152115354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155340504000).

152115354112 is an abundant number, since it is smaller than the sum of its proper divisors (158565653888).

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

152115354112 is an equidigital number, since it uses as much as digits as its factorization.

152115354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5765 counting only the distinct ones).

The product of its digits is 6000, while the sum is 31.

Adding to 152115354112 its reverse (211453511251), we get a palindrome (363568865363).

The spelling of 152115354112 in words is "one hundred fifty-two billion, one hundred fifteen million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1499 1504 2998 3008 4217 5996 6016 8434 11992 12032 16868 23984 24064 33736 47968 67472 70453 95936 134944 140906 191872 198199 269888 281812 383744 396398 539776 563624 767488 792796 1079552 1127248 1585592 2159104 2254496 3171184 4508992 6321283 6342368 9017984 12642566 12684736 18035968 25285132 25369472 36071936 50570264 50738944 101140528 101477888 202281056 297100301 404562112 594200602 809124224 1188401204 1618248448 2376802408 3236496896 4753604816 9507209632 19014419264 38028838528 76057677056 152115354112