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11243874384 = 243113967
BaseRepresentation
bin10100111100010111…
…11110100001010000
31002000121100000000000
422132023332201100
5141011412440014
65055415130000
7545430232611
oct123613764120
932017300000
1011243874384
11484a968276
122219673900
1310a2603b12
14789433c08
1545c1b3509
hex29e2fe850

11243874384 has 120 divisors (see below), whose sum is σ = 32685685760. Its totient is φ = 3747013344.

The previous prime is 11243874377. The next prime is 11243874419. The reversal of 11243874384 is 48347834211.

11243874384 is a `hidden beast` number, since 112 + 438 + 74 + 38 + 4 = 666.

11243874384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112438743842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2832369 + ... + 2836335.

Almost surely, 211243874384 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 11243874384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342842880).

11243874384 is an abundant number, since it is smaller than the sum of its proper divisors (21441811376).

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

11243874384 is an frugal number, since it uses more digits than its factorization.

11243874384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3972 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 11243874384 in words is "eleven billion, two hundred forty-three million, eight hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 3967 4374 5832 6561 7934 8748 11664 11901 13122 15868 17496 19683 23802 26244 31736 34992 35703 39366 47604 52488 59049 63472 71406 78732 95208 104976 107109 118098 142812 157464 177147 190416 214218 236196 285624 314928 321327 354294 428436 472392 571248 642654 708588 856872 944784 963981 1285308 1417176 1713744 1927962 2570616 2834352 2891943 3855924 5141232 5783886 7711848 8675829 11567772 15423696 17351658 23135544 26027487 34703316 46271088 52054974 69406632 78082461 104109948 138813264 156164922 208219896 234247383 312329844 416439792 468494766 624659688 702742149 936989532 1249319376 1405484298 1873979064 2810968596 3747958128 5621937192 11243874384