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11311217472 = 263237932423
BaseRepresentation
bin10101000100011001…
…10111101101000000
31002012022001101100110
422202030313231000
5141131132424342
65110222351320
7550205522262
oct124214675500
932168041313
1011311217472
114884984115
12223812b540
1310b35521b9
14794363b32
15463066c9c
hex2a2337b40

11311217472 has 112 divisors (see below), whose sum is σ = 31625072640. Its totient is φ = 3560713728.

The previous prime is 11311217453. The next prime is 11311217501. The reversal of 11311217472 is 27471211311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332653 + ... + 365075.

It is an arithmetic number, because the mean of its divisors is an integer number (282366720).

Almost surely, 211311217472 is an apocalyptic number.

11311217472 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 11311217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812536320).

11311217472 is an abundant number, since it is smaller than the sum of its proper divisors (20313855168).

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

11311217472 is a wasteful number, since it uses less digits than its factorization.

11311217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32540 (or 32530 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

Adding to 11311217472 its reverse (27471211311), we get a palindrome (38782428783).

The spelling of 11311217472 in words is "eleven billion, three hundred eleven million, two hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 79 92 96 138 158 184 192 237 276 316 368 474 552 632 736 948 1104 1264 1472 1817 1896 2208 2528 3634 3792 4416 5056 5451 7268 7584 10902 14536 15168 21804 29072 32423 43608 58144 64846 87216 97269 116288 129692 174432 194538 259384 348864 389076 518768 745729 778152 1037536 1491458 1556304 2075072 2237187 2561417 2982916 3112608 4474374 5122834 5965832 6225216 7684251 8948748 10245668 11931664 15368502 17897496 20491336 23863328 30737004 35794992 40982672 47726656 58912591 61474008 71589984 81965344 117825182 122948016 143179968 163930688 176737773 235650364 245896032 353475546 471300728 491792064 706951092 942601456 1413902184 1885202912 2827804368 3770405824 5655608736 11311217472