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206053316664 = 233135961183503
BaseRepresentation
bin1011111111100110111…
…1000001100000111000
3201200212012200000212220
42333321233001200320
511333444122113124
6234354245404040
720613123202356
oct2777157014070
9650765600786
10206053316664
117a4287a8648
1233b26a09620
131657a464b60
149d8a00c7d6
15555eade879
hex2ff9bc1838

206053316664 has 128 divisors (see below), whose sum is σ = 573413299200. Its totient is φ = 61304348160.

The previous prime is 206053316653. The next prime is 206053316669. The reversal of 206053316664 is 466613350602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206053316669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031137 + ... + 1214639.

It is an arithmetic number, because the mean of its divisors is an integer number (4479791400).

Almost surely, 2206053316664 is an apocalyptic number.

206053316664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206053316664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286706649600).

206053316664 is an abundant number, since it is smaller than the sum of its proper divisors (367359982536).

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

206053316664 is a wasteful number, since it uses less digits than its factorization.

206053316664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183645 (or 183641 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 206053316664 in words is "two hundred six billion, fifty-three million, three hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 61 78 104 118 122 156 177 183 236 244 312 354 366 472 488 708 732 767 793 1416 1464 1534 1586 2301 2379 3068 3172 3599 4602 4758 6136 6344 7198 9204 9516 10797 14396 18408 19032 21594 28792 43188 46787 86376 93574 140361 183503 187148 280722 367006 374296 550509 561444 734012 1101018 1122888 1468024 2202036 2385539 4404072 4771078 7156617 9542156 10826677 11193683 14313234 19084312 21653354 22387366 28626468 32480031 33581049 43306708 44774732 57252936 64960062 67162098 86613416 89549464 129920124 134324196 140746801 145517879 259840248 268648392 281493602 291035758 422240403 436553637 562987204 582071516 660427297 844480806 873107274 1125974408 1164143032 1320854594 1688961612 1746214548 1981281891 2641709188 3377923224 3492429096 3962563782 5283418376 7925127564 8585554861 15850255128 17171109722 25756664583 34342219444 51513329166 68684438888 103026658332 206053316664