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11079890688 = 283101142841
BaseRepresentation
bin10100101000110100…
…11011011100000000
31001121011202202122210
422110122123130000
5140142423000223
65031240302120
7541366342206
oct122432333400
931534682583
1011079890688
114776344959
122192771940
13107764a049
14771749076
1544cac0893
hex29469b700

11079890688 has 72 divisors (see below), whose sum is σ = 29780842896. Its totient is φ = 3656704000.

The previous prime is 11079890687. The next prime is 11079890719. The reversal of 11079890688 is 88609897011.

It is a super-2 number, since 2×110798906882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079890681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6148 + ... + 148988.

It is an arithmetic number, because the mean of its divisors is an integer number (413622818).

Almost surely, 211079890688 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 11079890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14890421448).

11079890688 is an abundant number, since it is smaller than the sum of its proper divisors (18700952208).

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

11079890688 is a wasteful number, since it uses less digits than its factorization.

11079890688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142961 (or 142947 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 57.

The spelling of 11079890688 in words is "eleven billion, seventy-nine million, eight hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 3232 4848 6464 9696 12928 19392 25856 38784 77568 142841 285682 428523 571364 857046 1142728 1714092 2285456 3428184 4570912 6856368 9141824 13712736 14426941 18283648 27425472 28853882 36567296 43280823 54850944 57707764 86561646 109701888 115415528 173123292 230831056 346246584 461662112 692493168 923324224 1384986336 1846648448 2769972672 3693296896 5539945344 11079890688