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1116646564 = 22112171131201
BaseRepresentation
bin100001010001110…
…1010110010100100
32212211011112010011
41002203222302210
54241330142224
6302445340004
736446224225
oct10243526244
92784145104
101116646564
11523355100
12271b67604
1314a45b917
14a843324c
1568073394
hex428eaca4

1116646564 has 72 divisors (see below), whose sum is σ = 2296315224. Its totient is φ = 473088000.

The previous prime is 1116646561. The next prime is 1116646579. The reversal of 1116646564 is 4656466111.

It can be written as a sum of positive squares in 4 ways, for example, as 27646564 + 1089000000 = 5258^2 + 33000^2 .

It is not an unprimeable number, because it can be changed into a prime (1116646561) 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 23 ways as a sum of consecutive naturals, for example, 929164 + ... + 930364.

It is an arithmetic number, because the mean of its divisors is an integer number (31893267).

Almost surely, 21116646564 is an apocalyptic number.

It is an amenable number.

1116646564 is an abundant number, since it is smaller than the sum of its proper divisors (1179668660).

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

1116646564 is a wasteful number, since it uses less digits than its factorization.

1116646564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1344 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 1116646564 is about 33416.2619692868. The cubic root of 1116646564 is about 1037.4613141621.

The spelling of 1116646564 in words is "one billion, one hundred sixteen million, six hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 113 121 187 226 242 374 452 484 748 1201 1243 1921 2057 2402 2486 3842 4114 4804 4972 7684 8228 13211 13673 20417 21131 26422 27346 40834 42262 52844 54692 81668 84524 135713 145321 224587 232441 271426 290642 449174 464882 542852 581284 898348 929764 1492843 2307121 2470457 2985686 4614242 4940914 5971372 9228484 9881828 16421273 25378331 32842546 50756662 65685092 101513324 279161641 558323282 1116646564