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2513777640114 = 2313231267729873
BaseRepresentation
bin100100100101001000110…
…100101100001010110010
322220022111111010012100210
4210211020310230022302
5312141204033440424
65202451414524550
7346420516250406
oct44451064541262
98808444105323
102513777640114
1188a0a5a42214
1234722b066756
13153081c08400
148994b827106
15455c846e729
hex24948d2c2b2

2513777640114 has 96 divisors (see below), whose sum is σ = 5621940739584. Its totient is φ = 748214737920.

The previous prime is 2513777640113. The next prime is 2513777640131. The reversal of 2513777640114 is 4110467773152.

It is a super-2 number, since 2×25137776401142 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2513777640113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84133882 + ... + 84163754.

It is an arithmetic number, because the mean of its divisors is an integer number (58561882704).

Almost surely, 22513777640114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513777640114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810970369792).

2513777640114 is an abundant number, since it is smaller than the sum of its proper divisors (3108163099470).

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

2513777640114 is a wasteful number, since it uses less digits than its factorization.

2513777640114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32612 (or 32599 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 2513777640114 in words is "two trillion, five hundred thirteen billion, seven hundred seventy-seven million, six hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 2677 5239 5354 8031 10478 15717 16062 29873 31434 34801 59746 69602 82987 89619 104403 165974 179238 208806 248961 388349 452413 497922 776698 904826 926063 1078831 1165047 1357239 1852126 2157662 2330094 2714478 2778189 3236493 5048537 5556378 6472986 10097074 12038819 14024803 15145611 24077638 28049606 30291222 36116457 42074409 72232914 79970021 84148818 156504647 159940042 239910063 313009294 469513941 479820126 939027882 1039610273 2079220546 2479070651 3118830819 4958141302 6237661638 7437211953 13514933549 14874423906 27029867098 32227918463 40544800647 64455836926 81089601294 96683755389 193367510778 418962940019 837925880038 1256888820057 2513777640114