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1116273648 = 243761107509
BaseRepresentation
bin100001010001000…
…1111101111110000
32212210110120120110
41002202033233300
54241231224043
6302433341320
736443112060
oct10242175760
92783416513
101116273648
1152311aa06
12271a07840
1314a35ac69
14a83773a0
1567eecb33
hex4288fbf0

1116273648 has 160 divisors (see below), whose sum is σ = 3387640320. Its totient is φ = 310164480.

The previous prime is 1116273647. The next prime is 1116273649. The reversal of 1116273648 is 8463726111.

It is an interprime number because it is at equal distance from previous prime (1116273647) and next prime (1116273649).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116273643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192818 + ... + 2193326.

It is an arithmetic number, because the mean of its divisors is an integer number (21172752).

Almost surely, 21116273648 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 1116273648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693820160).

1116273648 is an abundant number, since it is smaller than the sum of its proper divisors (2271366672).

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

1116273648 is a wasteful number, since it uses less digits than its factorization.

1116273648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1116273648 is about 33410.6816452463. The cubic root of 1116273648 is about 1037.3458108888.

Adding to 1116273648 its reverse (8463726111), we get a palindrome (9579999759).

The spelling of 1116273648 in words is "one billion, one hundred sixteen million, two hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 107 112 122 168 183 214 244 321 336 366 427 428 488 509 642 732 749 854 856 976 1018 1281 1284 1464 1498 1527 1708 1712 2036 2247 2562 2568 2928 2996 3054 3416 3563 4072 4494 5124 5136 5992 6108 6527 6832 7126 8144 8988 10248 10689 11984 12216 13054 14252 17976 19581 20496 21378 24432 26108 28504 31049 35952 39162 42756 45689 52216 54463 57008 62098 78324 85512 91378 93147 104432 108926 124196 137067 156648 163389 171024 182756 186294 217343 217852 248392 274134 313296 326778 365512 372588 381241 434686 435704 496784 548268 652029 653556 731024 745176 762482 869372 871408 1096536 1143723 1304058 1307112 1490352 1524964 1738744 2193072 2287446 2608116 2614224 3049928 3322243 3477488 4574892 5216232 6099856 6644486 9149784 9966729 10432464 13288972 18299568 19933458 23255701 26577944 39866916 46511402 53155888 69767103 79733832 93022804 139534206 159467664 186045608 279068412 372091216 558136824 1116273648