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2006000464600 = 2352114122239473
BaseRepresentation
bin11101001100001110111…
…100011111001011011000
321002202211121210000221201
4131030032330133023120
5230331242104331400
64133313251443544
7264633363416656
oct35141674371330
97082747700851
102006000464600
11703815a69740
122849395b65b4
1311721b763742
146d13b77ddd6
15372a9ba806a
hex1d30ef1f2d8

2006000464600 has 96 divisors (see below), whose sum is σ = 5212043126640. Its totient is φ = 711663104000.

The previous prime is 2006000464591. The next prime is 2006000464621. The reversal of 2006000464600 is 64640006002.

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 23 ways as a sum of consecutive naturals, for example, 11029537 + ... + 11209936.

Almost surely, 22006000464600 is an apocalyptic number.

2006000464600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006000464600 is an abundant number, since it is smaller than the sum of its proper divisors (3206042662040).

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

2006000464600 is a wasteful number, since it uses less digits than its factorization.

2006000464600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22239541 (or 22239532 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 2006000464600 in words is "two trillion, six billion, four hundred sixty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1640 1804 2050 2200 2255 3608 4100 4510 8200 9020 11275 18040 22550 45100 90200 22239473 44478946 88957892 111197365 177915784 222394730 244634203 444789460 489268406 555986825 889578920 911818393 978536812 1111973650 1223171015 1823636786 1957073624 2223947300 2446342030 3647273572 4447894600 4559091965 4892684060 6115855075 7294547144 9118183930 9785368120 10030002323 12231710150 18236367860 20060004646 22795459825 24463420300 36472735720 40120009292 45590919650 48926840600 50150011615 80240018584 91181839300 100300023230 182363678600 200600046460 250750058075 401200092920 501500116150 1003000232300 2006000464600