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1166066616 = 2331113477229
BaseRepresentation
bin100010110000000…
…1100001110111000
310000021011022200110
41011200030032320
54342003112431
6311412504320
740616255061
oct10540141670
93007138613
101166066616
1154923a120
1228661b0a0
13157773060
14b0c19568
156c586346
hex4580c3b8

1166066616 has 128 divisors (see below), whose sum is σ = 3498163200. Its totient is φ = 319188480.

The previous prime is 1166066611. The next prime is 1166066639. The reversal of 1166066616 is 6166606611.

It is a happy number.

It is a super-2 number, since 2×11660666162 = 2719422705899382912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166066611) 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, 157690 + ... + 164918.

It is an arithmetic number, because the mean of its divisors is an integer number (27329400).

Almost surely, 21166066616 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 1166066616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749081600).

1166066616 is an abundant number, since it is smaller than the sum of its proper divisors (2332096584).

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

1166066616 is a wasteful number, since it uses less digits than its factorization.

1166066616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7305 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1166066616 is about 34147.7175811210. The cubic root of 1166066616 is about 1052.5460860015.

The spelling of 1166066616 in words is "one billion, one hundred sixty-six million, sixty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 47 52 66 78 88 94 104 132 141 143 156 188 264 282 286 312 376 429 517 564 572 611 858 1034 1128 1144 1222 1551 1716 1833 2068 2444 3102 3432 3666 4136 4888 6204 6721 7229 7332 12408 13442 14458 14664 20163 21687 26884 28916 40326 43374 53768 57832 79519 80652 86748 93977 159038 161304 173496 187954 238557 281931 318076 339763 375908 477114 563862 636152 679526 751816 954228 1019289 1033747 1127724 1359052 1908456 2038578 2067494 2255448 2718104 3101241 3737393 4077156 4134988 4416919 6202482 7474786 8154312 8269976 8833838 11212179 12404964 13250757 14949572 17667676 22424358 24809928 26501514 29899144 35335352 44848716 48586109 53003028 89697432 97172218 106006056 145758327 194344436 291516654 388688872 583033308 1166066616