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11120411632 = 2411414335839
BaseRepresentation
bin10100101101101010…
…00000001111110000
31001201000000102221111
422112311000033300
5140233311133012
65035245003104
7542400640111
oct122665001760
931630012844
1011120411632
114797200940
1221a4253494
131082b66a35
14776c96208
15451426ba7
hex296d403f0

11120411632 has 80 divisors (see below), whose sum is σ = 24638423040. Its totient is φ = 4816627200.

The previous prime is 11120411623. The next prime is 11120411633. The reversal of 11120411632 is 23611402111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120411633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292369 + ... + 328207.

It is an arithmetic number, because the mean of its divisors is an integer number (307980288).

Almost surely, 211120411632 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 11120411632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319211520).

11120411632 is an abundant number, since it is smaller than the sum of its proper divisors (13518011408).

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

11120411632 is a wasteful number, since it uses less digits than its factorization.

11120411632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35942 (or 35936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11120411632 its reverse (23611402111), we get a palindrome (34731813743).

The spelling of 11120411632 in words is "eleven billion, one hundred twenty million, four hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 41 43 44 82 86 88 164 172 176 328 344 451 473 656 688 902 946 1763 1804 1892 3526 3608 3784 7052 7216 7568 14104 19393 28208 35839 38786 71678 77572 143356 155144 286712 310288 394229 573424 788458 1469399 1541077 1576916 2938798 3082154 3153832 5877596 6164308 6307664 11755192 12328616 16163389 16951847 23510384 24657232 32326778 33903694 63184157 64653556 67807388 126368314 129307112 135614776 252736628 258614224 271229552 505473256 695025727 1010946512 1390051454 2780102908 5560205816 11120411632