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11294991312 = 243116125749
BaseRepresentation
bin10101000010011101…
…11110001111010000
31002011011112000020120
422201032332033100
5141113004210222
65104442510240
7546620561553
oct124116761720
932134460216
1011294991312
114876801170
122232805380
1310b0090717
1479213c69a
1546190e15c
hex2a13be3d0

11294991312 has 120 divisors (see below), whose sum is σ = 32367348000. Its totient is φ = 3366028800.

The previous prime is 11294991307. The next prime is 11294991319. The reversal of 11294991312 is 21319949211.

It is a happy number.

11294991312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11294991319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1961814 + ... + 1967562.

It is an arithmetic number, because the mean of its divisors is an integer number (269727900).

Almost surely, 211294991312 is an apocalyptic number.

11294991312 is a gapful number since it is divisible by the number (12) 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 11294991312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183674000).

11294991312 is an abundant number, since it is smaller than the sum of its proper divisors (21072356688).

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

11294991312 is a wasteful number, since it uses less digits than its factorization.

11294991312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5826 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The spelling of 11294991312 in words is "eleven billion, two hundred ninety-four million, nine hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2684 2928 3721 4026 5368 5749 7442 8052 10736 11163 11498 14884 16104 17247 22326 22996 29768 32208 34494 40931 44652 45992 59536 63239 68988 81862 89304 91984 122793 126478 137976 163724 178608 189717 245586 252956 275952 327448 350689 379434 491172 505912 654896 701378 758868 982344 1011824 1052067 1402756 1517736 1964688 2104134 2805512 3035472 3857579 4208268 5611024 7715158 8416536 11572737 15430316 16833072 21392029 23145474 30860632 42784058 46290948 61721264 64176087 85568116 92581896 128352174 171136232 185163792 235312319 256704348 342272464 470624638 513408696 705936957 941249276 1026817392 1411873914 1882498552 2823747828 3764997104 5647495656 11294991312