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11008043856 = 24359912857
BaseRepresentation
bin10100100000010000…
…10110101101010000
31001102011120120100000
422100020112231100
5140021024400411
65020152330000
7536534554215
oct122010265520
931364516300
1011008043856
114739832307
1221726a3900
1310657b2a24
14765da5b0c
1544662c956
hex290216b50

11008043856 has 120 divisors (see below), whose sum is σ = 31991674624. Its totient is φ = 3664362240.

The previous prime is 11008043819. The next prime is 11008043857. The reversal of 11008043856 is 65834080011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11008043856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11008043857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3851580 + ... + 3854436.

Almost surely, 211008043856 is an apocalyptic number.

11008043856 is a gapful number since it is divisible by the number (16) 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 11008043856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995837312).

11008043856 is an abundant number, since it is smaller than the sum of its proper divisors (20983630768).

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

11008043856 is an equidigital number, since it uses as much as digits as its factorization.

11008043856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11008043856 in words is "eleven billion, eight million, forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 991 1296 1944 1982 2857 2973 3888 3964 5714 5946 7928 8571 8919 11428 11892 15856 17142 17838 22856 23784 25713 26757 34284 35676 45712 47568 51426 53514 68568 71352 77139 80271 102852 107028 137136 142704 154278 160542 205704 214056 231417 240813 308556 321084 411408 428112 462834 481626 617112 642168 694251 925668 963252 1234224 1284336 1388502 1851336 1926504 2777004 2831287 3702672 3853008 5554008 5662574 8493861 11108016 11325148 16987722 22650296 25481583 33975444 45300592 50963166 67950888 76444749 101926332 135901776 152889498 203852664 229334247 305778996 407705328 458668494 611557992 688002741 917336988 1223115984 1376005482 1834673976 2752010964 3669347952 5504021928 11008043856