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1166664627984 = 243371979533499
BaseRepresentation
bin10000111110100010101…
…000010111011100010000
311010112100212022202100110
4100332202220113130100
5123103312121043414
62251542555521320
7150201015500352
oct20764250273420
94115325282313
101166664627984
1140a863849769
1216a135759240
13860292073cb
14406771370d2
1520533373459
hex10fa2a17710

1166664627984 has 160 divisors (see below), whose sum is σ = 3115206864000. Its totient is φ = 375954518016.

The previous prime is 1166664627941. The next prime is 1166664627991. The reversal of 1166664627984 is 4897264666611.

It is a super-2 number, since 2×11666646279842 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333426267 + ... + 333429765.

It is an arithmetic number, because the mean of its divisors is an integer number (19470042900).

Almost surely, 21166664627984 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 1166664627984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557603432000).

1166664627984 is an abundant number, since it is smaller than the sum of its proper divisors (1948542236016).

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

1166664627984 is a wasteful number, since it uses less digits than its factorization.

1166664627984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4691 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 1166664627984 in words is "one trillion, one hundred sixty-six billion, six hundred sixty-four million, six hundred twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 197 222 296 394 444 591 592 788 888 953 1182 1576 1776 1906 2364 2859 3152 3499 3812 4728 5718 6998 7289 7624 9456 10497 11436 13996 14578 15248 20994 21867 22872 27992 29156 35261 41988 43734 45744 55984 58312 70522 83976 87468 105783 116624 129463 141044 167952 174936 187741 211566 258926 282088 349872 375482 388389 423132 517852 563223 564176 689303 750964 776778 846264 1035704 1126446 1378606 1501928 1553556 1692528 2067909 2071408 2252892 2757212 3003856 3107112 3334547 4135818 4505784 5514424 6214224 6669094 6946417 8271636 9011568 10003641 11028848 13338188 13892834 16543272 20007282 20839251 25504211 26676376 27785668 33086544 40014564 41678502 51008422 53352752 55571336 76512633 80029128 83357004 102016844 111142672 123378239 153025266 160058256 166714008 204033688 246756478 306050532 333428016 370134717 408067376 493512956 612101064 656905759 740269434 987025912 1224202128 1313811518 1480538868 1970717277 1974051824 2627623036 2961077736 3941434554 5255246072 5922155472 7882869108 10510492144 15765738216 24305513083 31531476432 48611026166 72916539249 97222052332 145833078498 194444104664 291666156996 388888209328 583332313992 1166664627984