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11076049008 = 2432796311543
BaseRepresentation
bin10100101000010111…
…10001100001110000
31001120220112120212100
422110023301201300
5140140432032013
65031022100400
7541321602033
oct122413614160
931526476770
1011076049008
114774160612
12219141a700
13107690356b
1477102901a
1544c5b2473
hex2942f1870

11076049008 has 120 divisors (see below), whose sum is σ = 31460049920. Its totient is φ = 3637146240.

The previous prime is 11076049007. The next prime is 11076049013. The reversal of 11076049008 is 80094067011.

11076049008 is a `hidden beast` number, since 1 + 107 + 60 + 490 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11076049007) 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, 7177485 + ... + 7179027.

Almost surely, 211076049008 is an apocalyptic number.

11076049008 is a gapful number since it is divisible by the number (18) 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 11076049008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730024960).

11076049008 is an abundant number, since it is smaller than the sum of its proper divisors (20384000912).

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

11076049008 is a wasteful number, since it uses less digits than its factorization.

11076049008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11076049008 in words is "eleven billion, seventy-six million, forty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 631 632 711 948 1262 1264 1422 1543 1893 1896 2524 2844 3086 3786 3792 4629 5048 5679 5688 6172 7572 9258 10096 11358 11376 12344 13887 15144 18516 22716 24688 27774 30288 37032 45432 49849 55548 74064 90864 99698 111096 121897 149547 199396 222192 243794 299094 365691 398792 448641 487588 598188 731382 797584 897282 973633 975176 1097073 1196376 1462764 1794564 1947266 1950352 2194146 2392752 2920899 2925528 3589128 3894532 4388292 5841798 5851056 7178256 7789064 8762697 8776584 11683596 15578128 17525394 17553168 23367192 35050788 46734384 70101576 76917007 140203152 153834014 230751021 307668028 461502042 615336056 692253063 923004084 1230672112 1384506126 1846008168 2769012252 3692016336 5538024504 11076049008