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2076686745460 = 2251249127765101
BaseRepresentation
bin11110001110000100001…
…011001111111101110100
321100112021212111011011221
4132032010023033331310
5233011023301323320
64230003340040124
7303015143041315
oct36160413177564
97315255434157
102076686745460
1173079958a778
12296586233044
13120aa5125b32
147272559c60c
153904567b3aa
hex1e3842cff74

2076686745460 has 48 divisors (see below), whose sum is σ = 4368018690000. Its totient is φ = 829346918400.

The previous prime is 2076686745421. The next prime is 2076686745481. The reversal of 2076686745460 is 645476866702.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 49286664036 + 2027400081424 = 222006^2 + 1423868^2 .

It is a super-2 number, since 2×20766867454602 (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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31866910 + ... + 31932010.

It is an arithmetic number, because the mean of its divisors is an integer number (91000389375).

Almost surely, 22076686745460 is an apocalyptic number.

2076686745460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2076686745460 is an abundant number, since it is smaller than the sum of its proper divisors (2291331944540).

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

2076686745460 is a wasteful number, since it uses less digits than its factorization.

2076686745460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67636 (or 67634 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 2076686745460 in words is "two trillion, seventy-six billion, six hundred eighty-six million, seven hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1249 1277 2498 2554 4996 5108 6245 6385 12490 12770 24980 25540 65101 130202 260404 325505 651010 1302020 1594973 3189946 6379892 7974865 15949730 31899460 81311149 83133977 162622298 166267954 325244596 332535908 406555745 415669885 813111490 831339770 1626222980 1662679540 103834337273 207668674546 415337349092 519171686365 1038343372730 2076686745460