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11938389344 = 257311409419
BaseRepresentation
bin10110001111001010…
…10101110101100000
31010211000012000102022
423013211111311200
5143422211424334
65252345041012
7601562430560
oct130745256540
933730160368
1011938389344
115076a00682
122392186168
13118347270b
14813780da0
1549d15082e
hex2c7955d60

11938389344 has 96 divisors (see below), whose sum is σ = 27078105600. Its totient is φ = 5075389440.

The previous prime is 11938389341. The next prime is 11938389367. The reversal of 11938389344 is 44398383911.

11938389344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11938389341) 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 15 ways as a sum of consecutive naturals, for example, 28492367 + ... + 28492785.

It is an arithmetic number, because the mean of its divisors is an integer number (282063600).

Almost surely, 211938389344 is an apocalyptic number.

11938389344 is a gapful number since it is divisible by the number (14) 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 11938389344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539052800).

11938389344 is an abundant number, since it is smaller than the sum of its proper divisors (15139716256).

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

11938389344 is a wasteful number, since it uses less digits than its factorization.

11938389344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The spelling of 11938389344 in words is "eleven billion, nine hundred thirty-eight million, three hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 311 409 419 622 818 838 1244 1636 1676 2177 2488 2863 2933 3272 3352 4354 4976 5726 5866 6544 6704 8708 9952 11452 11732 13088 13408 17416 22904 23464 34832 45808 46928 69664 91616 93856 127199 130309 171371 254398 260618 342742 508796 521236 685484 890393 912163 1017592 1042472 1199597 1370968 1780786 1824326 2035184 2084944 2399194 2741936 3561572 3648652 4070368 4169888 4798388 5483872 7123144 7297304 9596776 14246288 14594608 19193552 28492576 29189216 38387104 53296381 106592762 213185524 373074667 426371048 746149334 852742096 1492298668 1705484192 2984597336 5969194672 11938389344