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2006317604640 = 253521119809613
BaseRepresentation
bin11101001100100001110…
…110010001111100100000
321002210122201112102022010
4131030201312101330200
5230332414301322030
64133404541112520
7264644264154336
oct35144166217440
97083581472263
102006317604640
11703968a8a748
12284a07858740
1311726c382c7b
146d16b935b56
15372c79506b0
hex1d321d91f20

2006317604640 has 96 divisors (see below), whose sum is σ = 6349852910016. Its totient is φ = 532482370560.

The previous prime is 2006317604569. The next prime is 2006317604653. The reversal of 2006317604640 is 464067136002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9803527 + ... + 10006086.

It is an arithmetic number, because the mean of its divisors is an integer number (66144301146).

Almost surely, 22006317604640 is an apocalyptic number.

2006317604640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006317604640 is an abundant number, since it is smaller than the sum of its proper divisors (4343535305376).

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

2006317604640 is a wasteful number, since it uses less digits than its factorization.

2006317604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19809842 (or 19809834 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 2006317604640 in words is "two trillion, six billion, three hundred seventeen million, six hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 16880 20256 25320 33760 50640 101280 19809613 39619226 59428839 79238452 99048065 118857678 158476904 198096130 237715356 297144195 316953808 396192260 475430712 594288390 633907616 792384520 950861424 1188576780 1584769040 1901722848 2377153560 3169538080 4179828343 4754307120 8359656686 9508614240 12539485029 16719313372 20899141715 25078970058 33438626744 41798283430 50157940116 62697425145 66877253488 83596566860 100315880232 125394850290 133754506976 167193133720 200631760464 250789700580 334386267440 401263520928 501579401160 668772534880 1003158802320 2006317604640