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2006122890750 = 235311307792073
BaseRepresentation
bin11101001100010110001…
…111100000010111111110
321002210011011010221001120
4131030112033200113332
5230332014430001000
64133333343451410
7264636411134346
oct35142617402776
97083134127046
102006122890750
11703879088280
122849725b6b66
1311723ac29a54
146d14db2bd26
15372b57dc6a0
hex1d3163e05fe

2006122890750 has 128 divisors (see below), whose sum is σ = 5480290303488. Its totient is φ = 484748064000.

The previous prime is 2006122890743. The next prime is 2006122890769. The reversal of 2006122890750 is 570982216002.

It is a super-2 number, since 2×20061228907502 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 2136714 + ... + 2928786.

It is an arithmetic number, because the mean of its divisors is an integer number (42814767996).

Almost surely, 22006122890750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006122890750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740145151744).

2006122890750 is an abundant number, since it is smaller than the sum of its proper divisors (3474167412738).

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

2006122890750 is a wasteful number, since it uses less digits than its factorization.

2006122890750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792411 (or 792401 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 2006122890750 in words is "two trillion, six billion, one hundred twenty-two million, eight hundred ninety thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 125 150 165 250 275 307 330 375 550 614 750 825 921 1375 1535 1650 1842 2750 3070 3377 4125 4605 6754 7675 8250 9210 10131 15350 16885 20262 23025 33770 38375 46050 50655 76750 84425 101310 115125 168850 230250 253275 422125 506550 792073 844250 1266375 1584146 2376219 2532750 3960365 4752438 7920730 8712803 11881095 17425606 19801825 23762190 26138409 39603650 43564015 52276818 59405475 87128030 99009125 118810950 130692045 198018250 217820075 243166411 261384090 297027375 435640150 486332822 594054750 653460225 729499233 1089100375 1215832055 1306920450 1458998466 2178200750 2431664110 2674830521 3267301125 3647496165 5349661042 6079160275 6534602250 7294992330 8024491563 12158320550 13374152605 16048983126 18237480825 26748305210 30395801375 36474961650 40122457815 60791602750 66870763025 80244915630 91187404125 133741526050 182374808250 200612289075 334353815125 401224578150 668707630250 1003061445375 2006122890750