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1052840678166 = 2321771325314897
BaseRepresentation
bin11110101001000100011…
…00011101001100010110
310201122120021110222222100
433110202030131030112
5114222204203200131
62123400205342530
7136031242051224
oct17244214351426
93648507428870
101052840678166
1137656412a552
1215006a267a46
1378389708c04
1438d5a149b14
151c5c06cd7e6
hexf52231d316

1052840678166 has 96 divisors (see below), whose sum is σ = 2450276682048. Its totient is φ = 325528842240.

The previous prime is 1052840678147. The next prime is 1052840678243. The reversal of 1052840678166 is 6618760482501.

1052840678166 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 406 + 78 + 166 = 666.

It is a super-2 number, since 2×10528406781662 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70667230 + ... + 70682126.

It is an arithmetic number, because the mean of its divisors is an integer number (25523715438).

Almost surely, 21052840678166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052840678166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225138341024).

1052840678166 is an abundant number, since it is smaller than the sum of its proper divisors (1397436003882).

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

1052840678166 is a wasteful number, since it uses less digits than its factorization.

1052840678166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18246 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1052840678166 in words is "one trillion, fifty-two billion, eight hundred forty million, six hundred seventy-eight thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 2414 3253 3621 6506 7242 9759 10863 14897 19518 21726 29277 29794 44691 55301 58554 89382 110602 134073 165903 230963 253249 268146 331806 461926 497709 506498 692889 759747 995418 1057687 1385778 1519494 2078667 2115374 2279241 3173061 3926371 4157334 4558482 6346122 7852742 9519183 11779113 17980679 19038366 23558226 35337339 35961358 48459941 53942037 70674678 96919882 107884074 145379823 161826111 290759646 323652222 436139469 823818997 872278938 1647637994 2471456991 3440655811 4942913982 6881311622 7414370973 10321967433 14828741946 20643934866 30965902299 58491148787 61931804598 116982297574 175473446361 350946892722 526420339083 1052840678166