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138394198912 = 2773113131071
BaseRepresentation
bin1000000011100011101…
…1111110001110000000
3111020012221002201202211
42000320323332032000
54231412403331122
6143324415551504
712666352165324
oct2007073761600
9436187081684
10138394198912
1153768a10002
12229a3b2b594
1310086ca7938
1469ac267984
1538eec78877
hex2038efe380

138394198912 has 64 divisors (see below), whose sum is σ = 281959464960. Its totient is φ = 67644702720.

The previous prime is 138394198903. The next prime is 138394198919. The reversal of 138394198912 is 219891493831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138394198919) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 990337 + ... + 1121407.

It is an arithmetic number, because the mean of its divisors is an integer number (4405616640).

Almost surely, 2138394198912 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 138394198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140979732480).

138394198912 is an abundant number, since it is smaller than the sum of its proper divisors (143565266048).

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

138394198912 is a wasteful number, since it uses less digits than its factorization.

138394198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131271 (or 131259 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 58.

The spelling of 138394198912 in words is "one hundred thirty-eight billion, three hundred ninety-four million, one hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 113 128 146 226 292 452 584 904 1168 1808 2336 3616 4672 7232 8249 9344 14464 16498 32996 65992 131071 131984 262142 263968 524284 527936 1048568 1055872 2097136 4194272 8388544 9568183 14811023 16777088 19136366 29622046 38272732 59244092 76545464 118488184 153090928 236976368 306181856 473952736 612363712 947905472 1081204679 1224727424 1895810944 2162409358 4324818716 8649637432 17299274864 34598549728 69197099456 138394198912