Search a number
-
+
106666600661166 = 23713832353735837
BaseRepresentation
bin11000010000001101000000…
…110101111000000010101110
3111222200020010210121021022110
4120100031000311320002232
5102440111144232124131
61014505543155224450
731316256541606320
oct3020150065700256
9458606123537273
10106666600661166
1130a9506230a657
12bb688508a8126
134769804226990
141c4a996223610
15c4e99a55e646
hex610340d780ae

106666600661166 has 64 divisors (see below), whose sum is σ = 265727361166848. Its totient is φ = 27792912751488.

The previous prime is 106666600661149. The next prime is 106666600661189. The reversal of 106666600661166 is 661166006666601.

106666600661166 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1066666006611663 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 1176822601 + ... + 1176913236.

It is an arithmetic number, because the mean of its divisors is an integer number (4151990018232).

Almost surely, 2106666600661166 is an apocalyptic number.

106666600661166 is an abundant number, since it is smaller than the sum of its proper divisors (159060760505682).

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

106666600661166 is a wasteful number, since it uses less digits than its factorization.

106666600661166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353735945.

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 106666600661166 in words is "one hundred six trillion, six hundred sixty-six billion, six hundred million, six hundred sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 498 546 581 1079 1162 1743 2158 3237 3486 6474 7553 15106 22659 45318 2353735837 4707471674 7061207511 14122415022 16476150859 30598565881 32952301718 49428452577 61197131762 91795697643 98856905154 183591395286 195360074471 214189961167 390720148942 428379922334 586080223413 642569883501 1172160446826 1285139767002 1367520521297 2539680968123 2735041042594 4102561563891 5079361936246 7619042904369 8205123127782 15238085808738 17777766776861 35555533553722 53333300330583 106666600661166