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1116531648 = 2633798179
BaseRepresentation
bin100001010001100…
…1110101111000000
32212210221200111000
41002203032233000
54241313003043
6302443052000
736445235211
oct10243165700
92783850430
101116531648
11523286831
12271b11000
1314a41b51b
14a8403408
156804e2d3
hex428cebc0

1116531648 has 112 divisors (see below), whose sum is σ = 3324352000. Its totient is φ = 367421184.

The previous prime is 1116531641. The next prime is 1116531667. The reversal of 1116531648 is 8461356111.

It is a happy number.

1116531648 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 5 + 3 + 1 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116531641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132423 + ... + 140601.

Almost surely, 21116531648 is an apocalyptic number.

1116531648 is a gapful number since it is divisible by the number (18) 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 1116531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662176000).

1116531648 is an abundant number, since it is smaller than the sum of its proper divisors (2207820352).

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

1116531648 is an equidigital number, since it uses as much as digits as its factorization.

1116531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8263 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1116531648 is about 33414.5424628260. The cubic root of 1116531648 is about 1037.4257239708.

Adding to 1116531648 its reverse (8461356111), we get a palindrome (9577887759).

The spelling of 1116531648 in words is "one billion, one hundred sixteen million, five hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 432 474 576 632 711 864 948 1264 1422 1728 1896 2133 2528 2844 3792 4266 5056 5688 7584 8179 8532 11376 15168 16358 17064 22752 24537 32716 34128 45504 49074 65432 68256 73611 98148 130864 136512 147222 196296 220833 261728 294444 392592 441666 523456 588888 646141 785184 883332 1177776 1292282 1570368 1766664 1938423 2355552 2584564 3533328 3876846 4711104 5169128 5815269 7066656 7753692 10338256 11630538 14133312 15507384 17445807 20676512 23261076 31014768 34891614 41353024 46522152 62029536 69783228 93044304 124059072 139566456 186088608 279132912 372177216 558265824 1116531648