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11312053344 = 253243913441
BaseRepresentation
bin10101000100100000…
…00011110001100000
31002012100121211221200
422202100003301200
5141131341201334
65110252321200
7550215603234
oct124220036140
932170554850
1011312053344
1148853a5119
122238473200
1310b37857b7
147945005c4
1546317e799
hex2a2403c60

11312053344 has 72 divisors (see below), whose sum is σ = 32916795912. Its totient is φ = 3682990080.

The previous prime is 11312053343. The next prime is 11312053447. The reversal of 11312053344 is 44335021311.

It is a happy number.

11312053344 is a `hidden beast` number, since 1 + 1 + 3 + 120 + 533 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312053343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444337 + ... + 469104.

It is an arithmetic number, because the mean of its divisors is an integer number (457177721).

Almost surely, 211312053344 is an apocalyptic number.

It is an amenable number.

11312053344 is an abundant number, since it is smaller than the sum of its proper divisors (21604742568).

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

11312053344 is a wasteful number, since it uses less digits than its factorization.

11312053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913500 (or 913489 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11312053344 its reverse (44335021311), we get a palindrome (55647074655).

It can be divided in two parts, 113120 and 53344, that added together give a square (166464 = 4082).

The spelling of 11312053344 in words is "eleven billion, three hundred twelve million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 913441 1826882 2740323 3653764 5480646 7307528 8220969 10961292 14615056 16441938 21922584 29230112 32883876 39277963 43845168 65767752 78555926 87690336 117833889 131535504 157111852 235667778 263071008 314223704 353501667 471335556 628447408 707003334 942671112 1256894816 1414006668 1885342224 2828013336 3770684448 5656026672 11312053344