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11336604224 = 261121786113
BaseRepresentation
bin10101000111011011…
…01101101001000000
31002021001211011102112
422203231231221000
5141204132313344
65112530434452
7550634355161
oct124355555100
932231734375
1011336604224
114898243600
122244732a28
1310b88a044a
14797891768
154653cdc9e
hex2a3b6da40

11336604224 has 84 divisors (see below), whose sum is σ = 26181928332. Its totient is φ = 4849827840.

The previous prime is 11336604211. The next prime is 11336604269. The reversal of 11336604224 is 42240663311.

It can be written as a sum of positive squares in 2 ways, for example, as 3025000000 + 8311604224 = 55000^2 + 91168^2 .

It is a super-2 number, since 2×113366042242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88592 + ... + 174704.

It is an arithmetic number, because the mean of its divisors is an integer number (311689623).

Almost surely, 211336604224 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 11336604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090964166).

11336604224 is an abundant number, since it is smaller than the sum of its proper divisors (14845324108).

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

11336604224 is a wasteful number, since it uses less digits than its factorization.

11336604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86164 (or 86143 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 11336604224 in words is "eleven billion, three hundred thirty-six million, six hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 136 176 187 242 272 352 374 484 544 704 748 968 1088 1496 1936 2057 2992 3872 4114 5984 7744 8228 11968 16456 32912 65824 86113 131648 172226 344452 688904 947243 1377808 1463921 1894486 2755616 2927842 3788972 5511232 5855684 7577944 10419673 11711368 15155888 16103131 20839346 23422736 30311776 32206262 41678692 46845472 60623552 64412524 83357384 93690944 128825048 166714768 177134441 257650096 333429536 354268882 515300192 666859072 708537764 1030600384 1417075528 2834151056 5668302112 11336604224