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200492726238 = 232731157326939
BaseRepresentation
bin1011101010111001001…
…1000011011111011110
3201011111200102202211100
42322232103003133132
511241102114214423
6232034410533530
720325253024440
oct2725623033736
9634450382740
10200492726238
1178034a0a772
1232a347372a6
1315ba242856c
1499bd702490
155336852343
hex2eae4c37de

200492726238 has 96 divisors (see below), whose sum is σ = 515738695680. Its totient is φ = 55082514240.

The previous prime is 200492726221. The next prime is 200492726251. The reversal of 200492726238 is 832627294002.

200492726238 is a `hidden beast` number, since 2 + 0 + 0 + 492 + 72 + 62 + 38 = 666.

It is a super-2 number, since 2×2004927262382 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200492726193 and 200492726202.

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 47 ways as a sum of consecutive naturals, for example, 449773 + ... + 776711.

It is an arithmetic number, because the mean of its divisors is an integer number (5372278080).

Almost surely, 2200492726238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200492726238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257869347840).

200492726238 is an abundant number, since it is smaller than the sum of its proper divisors (315245969442).

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

200492726238 is a wasteful number, since it uses less digits than its factorization.

200492726238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327142 (or 327139 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 200492726238 in words is "two hundred billion, four hundred ninety-two million, seven hundred twenty-six thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 157 186 217 279 314 434 471 558 651 942 1099 1302 1413 1953 2198 2826 3297 3906 4867 6594 9734 9891 14601 19782 29202 34069 43803 68138 87606 102207 204414 306621 326939 613242 653878 980817 1961634 2288573 2942451 4577146 5884902 6865719 10135109 13731438 20270218 20597157 30405327 41194314 51329423 60810654 70945763 91215981 102658846 141891526 153988269 182431962 212837289 307976538 359305961 425674578 461964807 638511867 718611922 923929614 1077917883 1277023734 1591212113 2155835766 3182424226 3233753649 4773636339 6467507298 9547272678 11138484791 14320909017 22276969582 28641818034 33415454373 66830908746 100246363119 200492726238