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11312263044 = 22322923834547
BaseRepresentation
bin10101000100100001…
…10110111110000100
31002012101000111121100
422202100312332010
5141131414404134
65110301020100
7550220435505
oct124220667604
932171014540
1011312263044
114885528725
122238554630
1310b382a094
14794556bac
154631c1999
hex2a2436f84

11312263044 has 72 divisors (see below), whose sum is σ = 29599839360. Its totient is φ = 3638400192.

The previous prime is 11312263021. The next prime is 11312263069. The reversal of 11312263044 is 44036221311.

It is a happy number.

11312263044 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 22 + 630 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11312262999 and 11312263017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2485579 + ... + 2490125.

It is an arithmetic number, because the mean of its divisors is an integer number (411108880).

Almost surely, 211312263044 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 11312263044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799919680).

11312263044 is an abundant number, since it is smaller than the sum of its proper divisors (18287576316).

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

11312263044 is a wasteful number, since it uses less digits than its factorization.

11312263044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11312263044 its reverse (44036221311), we get a palindrome (55348484355).

The spelling of 11312263044 in words is "eleven billion, three hundred twelve million, two hundred sixty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 2383 4547 4766 7149 9094 9532 13641 14298 18188 21447 27282 28596 40923 42894 54564 69107 81846 85788 131863 138214 163692 207321 263726 276428 395589 414642 527452 621963 791178 829284 1186767 1243926 1582356 2373534 2487852 4747068 10835501 21671002 32506503 43342004 65013006 97519509 130026012 195039018 314229529 390078036 628459058 942688587 1256918116 1885377174 2828065761 3770754348 5656131522 11312263044