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2000691198 = 2331121272411
BaseRepresentation
bin111011101000000…
…0001111111111110
312011102122122101000
41313100001333332
513044134104243
6530305431130
7100402410642
oct16720017776
95142578330
102000691198
11937379a00
1247a03b4a6
1325b659b5c
1414d9d8c22
15ba99c5d3
hex77401ffe

2000691198 has 96 divisors (see below), whose sum is σ = 4927426560. Its totient is φ = 601246800.

The previous prime is 2000691169. The next prime is 2000691263. The reversal of 2000691198 is 8911960002.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828613 + ... + 831023.

It is an arithmetic number, because the mean of its divisors is an integer number (51327360).

Almost surely, 22000691198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000691198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463713280).

2000691198 is an abundant number, since it is smaller than the sum of its proper divisors (2926735362).

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

2000691198 is a wasteful number, since it uses less digits than its factorization.

2000691198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 2000691198 is about 44729.0867109982. The cubic root of 2000691198 is about 1260.0661756627.

The spelling of 2000691198 in words is "two billion, six hundred ninety-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 127 198 242 254 297 363 381 594 726 762 1089 1143 1397 2178 2286 2411 2794 3267 3429 4191 4822 6534 6858 7233 8382 12573 14466 15367 21699 25146 26521 30734 37719 43398 46101 53042 65097 75438 79563 92202 130194 138303 159126 238689 276606 291731 306197 414909 477378 583462 612394 716067 829818 875193 918591 1432134 1750386 1837182 2625579 2755773 3368167 5251158 5511546 6736334 7876737 8267319 10104501 15753474 16534638 20209002 30313503 37049837 60627006 74099674 90940509 111149511 181881018 222299022 333448533 666897066 1000345599 2000691198