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2006775498 = 2372131912749
BaseRepresentation
bin111011110011100…
…1111011011001010
312011212002202110110
41313213033123022
513102213303443
6531044055150
7100505211300
oct16747173312
95155082413
102006775498
1193a855152
124800944b6
1325c9aa330
14150740270
15bb2a0233
hex779cf6ca

2006775498 has 96 divisors (see below), whose sum is σ = 5056128000. Its totient is φ = 526296960.

The previous prime is 2006775493. The next prime is 2006775527. The reversal of 2006775498 is 8945776002.

It is not an unprimeable number, because it can be changed into a prime (2006775493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728628 + ... + 731376.

It is an arithmetic number, because the mean of its divisors is an integer number (52668000).

Almost surely, 22006775498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006775498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064000).

2006775498 is an abundant number, since it is smaller than the sum of its proper divisors (3049352502).

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

2006775498 is a wasteful number, since it uses less digits than its factorization.

2006775498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2006775498 is about 44797.0478714837. The cubic root of 2006775498 is about 1261.3422116802.

The spelling of 2006775498 in words is "two billion, six million, seven hundred seventy-five thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 191 273 294 382 546 573 637 1146 1274 1337 1911 2483 2674 2749 3822 4011 4966 5498 7449 8022 8247 9359 14898 16494 17381 18718 19243 28077 34762 35737 38486 52143 56154 57729 71474 104286 107211 115458 121667 134701 214422 243334 250159 269402 365001 404103 500318 525059 730002 750477 808206 1050118 1500954 1575177 1751113 3150354 3502226 3675413 5253339 6825767 7350826 10506678 11026239 13651534 20477301 22052478 25727891 40954602 47780369 51455782 77183673 95560738 143341107 154367346 286682214 334462583 668925166 1003387749 2006775498