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2003671240020 = 2232556919563281
BaseRepresentation
bin11101001010000100000…
…111001100110101010100
321002112211021221011111200
4131022010013030311110
5230312004314140040
64132250204232500
7264521561346522
oct35120407146524
97075737834450
102003671240020
117028301a784a
122843a953b730
13116c3a028548
146cd9a2a5312
15371c0462630
hex1d2841ccd54

2003671240020 has 72 divisors (see below), whose sum is σ = 6088484624040. Its totient is φ = 533373265920.

The previous prime is 2003671240001. The next prime is 2003671240027. The reversal of 2003671240020 is 200421763002.

2003671240020 is a `hidden beast` number, since 200 + 36 + 7 + 1 + 2 + 400 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49887902736 + 1953783337284 = 223356^2 + 1397778^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003671240027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9679221 + ... + 9884060.

It is an arithmetic number, because the mean of its divisors is an integer number (84562286445).

Almost surely, 22003671240020 is an apocalyptic number.

2003671240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003671240020 is an abundant number, since it is smaller than the sum of its proper divisors (4084813384020).

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

2003671240020 is a wasteful number, since it uses less digits than its factorization.

2003671240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19563865 (or 19563860 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 2003671240020 in words is "two trillion, three billion, six hundred seventy-one million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 569 1138 1707 2276 2845 3414 5121 5690 6828 8535 10242 11380 17070 20484 25605 34140 51210 102420 19563281 39126562 58689843 78253124 97816405 117379686 176069529 195632810 234759372 293449215 352139058 391265620 586898430 704278116 880347645 1173796860 1760695290 3521390580 11131506889 22263013778 33394520667 44526027556 55657534445 66789041334 100183562001 111315068890 133578082668 166972603335 200367124002 222630137780 333945206670 400734248004 500917810005 667890413340 1001835620010 2003671240020