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2008506202024 = 237892811434131
BaseRepresentation
bin11101001110100100010…
…011000111011110101000
321010000022020202200111111
4131032210103013132220
5230401410041431044
64134410042240104
7265052441012620
oct35164423073650
97100266680444
102008506202024
11704891431313
122853187b6034
1311752a9214ca
146d2d8485880
15373a4b68b34
hex1d3a44c77a8

2008506202024 has 64 divisors (see below), whose sum is σ = 4367792419200. Its totient is φ = 848087116800.

The previous prime is 2008506202019. The next prime is 2008506202039. The reversal of 2008506202024 is 4202026058002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683439 + ... + 2117569.

It is an arithmetic number, because the mean of its divisors is an integer number (68246756550).

Almost surely, 22008506202024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2008506202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183896209600).

2008506202024 is an abundant number, since it is smaller than the sum of its proper divisors (2359286217176).

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

2008506202024 is a wasteful number, since it uses less digits than its factorization.

2008506202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434514 (or 1434510 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 2008506202024 in words is "two trillion, eight billion, five hundred six million, two hundred two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 89 178 281 356 562 623 712 1124 1246 1967 2248 2492 3934 4984 7868 15736 25009 50018 100036 175063 200072 350126 700252 1400504 1434131 2868262 5736524 10038917 11473048 20077834 40155668 80311336 127637659 255275318 402990811 510550636 805981622 893463613 1021101272 1611963244 1786927226 2820935677 3223926488 3573854452 5641871354 7147708904 11283742708 22567485416 35866182179 71732364358 143464728716 251063275253 286929457432 502126550506 1004253101012 2008506202024