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1052210070666 = 23423237331841
BaseRepresentation
bin11110100111111001001…
…10111000010010001010
310201120221022212211010000
433103330212320102022
5114214411234230131
62123213441303430
7136006514013336
oct17237446702212
93646838784100
101052210070666
11376270176827
1214bb13034b76
13782b8b84991
1438cda4b67c6
151c585166ce6
hexf4fc9b848a

1052210070666 has 120 divisors (see below), whose sum is σ = 2531317987044. Its totient is φ = 326419061760.

The previous prime is 1052210070647. The next prime is 1052210070671. The reversal of 1052210070666 is 6660700122501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1051180623441 + 1029447225 = 1025271^2 + 32085^2 .

It is a super-2 number, since 2×10522100706662 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052210070666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3004906 + ... + 3336746.

Almost surely, 21052210070666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052210070666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265658993522).

1052210070666 is an abundant number, since it is smaller than the sum of its proper divisors (1479107916378).

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

1052210070666 is a wasteful number, since it uses less digits than its factorization.

1052210070666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331938 (or 331906 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1052210070666 in words is "one trillion, fifty-two billion, two hundred ten million, seventy thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 81 111 138 162 207 222 333 414 529 621 666 851 999 1058 1242 1587 1702 1863 1998 2553 2997 3174 3726 4761 5106 5994 7659 9522 14283 15318 19573 22977 28566 39146 42849 45954 58719 68931 85698 117438 137862 176157 331841 352314 528471 663682 995523 1056942 1585413 1991046 2986569 3170826 5973138 7632343 8959707 12278117 15264686 17919414 22897029 24556234 26879121 36834351 45794058 53758242 68691087 73668702 110503053 137382174 175543889 206073261 221006106 282396691 331509159 351087778 412146522 526631667 564793382 618219783 663018318 847190073 994527477 1053263334 1236439566 1579895001 1694380146 1989054954 2541570219 3159790002 4739685003 5083140438 6495123893 7624710657 9479370006 12990247786 14219055009 15249421314 19485371679 22874131971 28438110018 38970743358 45748263942 58456115037 116912230074 175368345111 350736690222 526105035333 1052210070666