Search a number
-
+
10931329808 = 247618571867
BaseRepresentation
bin10100010111000111…
…01101101100010000
31001012211020002102222
422023203231230100
5134341410023213
65004412200212
7534613525130
oct121343555420
931184202388
1010931329808
1146aa4a5973
122150a69068
1310529331b9
14759b16ac0
1543ea27808
hex28b8edb10

10931329808 has 80 divisors (see below), whose sum is σ = 24643791744. Its totient is φ = 4600212480.

The previous prime is 10931329769. The next prime is 10931329811. The reversal of 10931329808 is 80892313901.

It is a Cunningham number, because it is equal to 1045532-1.

It is a super-3 number, since 3×109313298083 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5854091 + ... + 5855957.

Almost surely, 210931329808 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 10931329808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12321895872).

10931329808 is an abundant number, since it is smaller than the sum of its proper divisors (13712461936).

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

10931329808 is a wasteful number, since it uses less digits than its factorization.

10931329808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 10931329808 in words is "ten billion, nine hundred thirty-one million, three hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 854 857 976 1708 1714 1867 3416 3428 3734 5999 6832 6856 7468 11998 13069 13712 14936 23996 26138 29872 47992 52276 52277 95984 104552 104554 113887 209104 209108 227774 365939 418216 455548 731878 797209 836432 911096 1463756 1594418 1600019 1822192 2927512 3188836 3200038 5855024 6377672 6400076 11200133 12755344 12800152 22400266 25600304 44800532 89601064 97601159 179202128 195202318 390404636 683208113 780809272 1366416226 1561618544 2732832452 5465664904 10931329808