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2004505142325 = 35274193124513
BaseRepresentation
bin11101001010110101110…
…100010010010000110101
321002121222102001210102020
4131022311310102100311
5230320211304023300
64132505033503353
7264551335403550
oct35126564222065
97077872053366
102004505142325
11703118993a04
122845a0871b59
13117040a1b66a
146d038d37697
153721d7848a0
hex1d2b5d12435

2004505142325 has 48 divisors (see below), whose sum is σ = 3879939751296. Its totient is φ = 893995315200.

The previous prime is 2004505142317. The next prime is 2004505142359. The reversal of 2004505142325 is 5232415054002.

It is a happy number.

It is not a de Polignac number, because 2004505142325 - 23 = 2004505142317 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46540732 + ... + 46583781.

It is an arithmetic number, because the mean of its divisors is an integer number (80832078152).

Almost surely, 22004505142325 is an apocalyptic number.

2004505142325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004505142325 is a deficient number, since it is larger than the sum of its proper divisors (1875434608971).

2004505142325 is a wasteful number, since it uses less digits than its factorization.

2004505142325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93124574 (or 93124569 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 2004505142325 in words is "two trillion, four billion, five hundred five million, one hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 41 75 105 123 175 205 287 525 615 861 1025 1435 3075 4305 7175 21525 93124513 279373539 465622565 651871591 1396867695 1955614773 2328112825 3259357955 3818105033 6984338475 9778073865 11454315099 16296789775 19090525165 26726735231 48890369325 57271575495 80180205693 95452625825 133633676155 286357877475 400901028465 668168380775 2004505142325