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11344334472 = 233516335801
BaseRepresentation
bin10101001000010110…
…01100111010001000
31002021121100220100000
422210023030322020
5141213122200342
65113404243000
7551060152302
oct124413147210
932247326300
1011344334472
1148a1643439
122247240460
1310ba378b63
14798904972
15465e0944c
hex2a42cce88

11344334472 has 96 divisors (see below), whose sum is σ = 32058542880. Its totient is φ = 3758140800.

The previous prime is 11344334471. The next prime is 11344334497. The reversal of 11344334472 is 27443344311.

11344334472 is a `hidden beast` number, since 113 + 4 + 43 + 34 + 472 = 666.

It is a super-2 number, since 2×113443344722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11344334471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298972 + ... + 334772.

It is an arithmetic number, because the mean of its divisors is an integer number (333943155).

Almost surely, 211344334472 is an apocalyptic number.

11344334472 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 11344334472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029271440).

11344334472 is an abundant number, since it is smaller than the sum of its proper divisors (20714208408).

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

11344334472 is a wasteful number, since it uses less digits than its factorization.

11344334472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35985 (or 35969 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

Adding to 11344334472 its reverse (27443344311), we get a palindrome (38787678783).

The spelling of 11344334472 in words is "eleven billion, three hundred forty-four million, three hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 163 216 243 324 326 486 489 648 652 972 978 1304 1467 1944 1956 2934 3912 4401 5868 8802 11736 13203 17604 26406 35208 35801 39609 52812 71602 79218 105624 107403 143204 158436 214806 286408 316872 322209 429612 644418 859224 966627 1288836 1933254 2577672 2899881 3866508 5799762 5835563 7733016 8699643 11599524 11671126 17399286 17506689 23199048 23342252 34798572 35013378 46684504 52520067 69597144 70026756 105040134 140053512 157560201 210080268 315120402 420160536 472680603 630240804 945361206 1260481608 1418041809 1890722412 2836083618 3781444824 5672167236 11344334472