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11631110336 = 265327712379
BaseRepresentation
bin10101101010100010…
…01010100011000000
31010000120222121212022
422311101022203000
5142310031012321
65202051021012
7561141543446
oct126521124300
933016877768
1011631110336
114a2950538a
12230729a768
1311348c6711
147c4a34b96
154811a4dab
hex2b544a8c0

11631110336 has 56 divisors (see below), whose sum is σ = 23602767120. Its totient is φ = 5684769792.

The previous prime is 11631110311. The next prime is 11631110339. The reversal of 11631110336 is 63301113611.

It is not an unprimeable number, because it can be changed into a prime (11631110339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933395 + ... + 945773.

Almost surely, 211631110336 is an apocalyptic number.

11631110336 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 11631110336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801383560).

11631110336 is an abundant number, since it is smaller than the sum of its proper divisors (11971656784).

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

11631110336 is a wasteful number, since it uses less digits than its factorization.

11631110336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12721 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 11631110336 its reverse (63301113611), we get a palindrome (74932223947).

The spelling of 11631110336 in words is "eleven billion, six hundred thirty-one million, one hundred ten thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 277 424 554 848 1108 1696 2216 3392 4432 8864 12379 14681 17728 24758 29362 49516 58724 99032 117448 198064 234896 396128 469792 656087 792256 939584 1312174 2624348 3428983 5248696 6857966 10497392 13715932 20994784 27431864 41989568 54863728 109727456 181736099 219454912 363472198 726944396 1453888792 2907777584 5815555168 11631110336