Search a number
-
+
238012981824 = 2635921011033
BaseRepresentation
bin1101110110101010101…
…1011110001001000000
3211202100112102020111010
43131222223132021000
512344422310404244
6301201444120520
723124116651622
oct3355253361100
9752315366433
10238012981824
1191a3913a062
123a166096140
13195a1821227
14b73c812c12
1562d07aeeb9
hex376aade240

238012981824 has 56 divisors (see below), whose sum is σ = 640416316320. Its totient is φ = 77992950784.

The previous prime is 238012981807. The next prime is 238012981831. The reversal of 238012981824 is 428189210832.

238012981824 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 (48).

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 7 ways as a sum of consecutive naturals, for example, 10494189 + ... + 10516844.

Almost surely, 2238012981824 is an apocalyptic number.

238012981824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

238012981824 is an abundant number, since it is smaller than the sum of its proper divisors (402403334496).

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

238012981824 is a wasteful number, since it uses less digits than its factorization.

238012981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21011107 (or 21011097 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 238012981824 in words is "two hundred thirty-eight billion, twelve million, nine hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 21011033 42022066 63033099 84044132 126066198 168088264 252132396 336176528 504264792 672353056 1008529584 1239650947 1344706112 2017059168 2479301894 3718952841 4034118336 4958603788 7437905682 9917207576 14875811364 19834415152 29751622728 39668830304 59503245456 79337660608 119006490912 238012981824