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206148452238 = 232151178742443
BaseRepresentation
bin1011111111111101100…
…1111011111110001110
3201201002211200102100200
42333333121323332032
511334143000432423
6234411524434330
720615356634511
oct2777731737616
9651084612320
10206148452238
117a477477393
1233b528489a6
13165940944b1
149d988d4d78
155568132d43
hex2fff67bf8e

206148452238 has 48 divisors (see below), whose sum is σ = 449875161216. Its totient is φ = 68221270800.

The previous prime is 206148452221. The next prime is 206148452261. The reversal of 206148452238 is 832254841602.

206148452238 is a `hidden beast` number, since 2 + 0 + 6 + 14 + 84 + 522 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 206148452193 and 206148452202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4835845 + ... + 4878287.

It is an arithmetic number, because the mean of its divisors is an integer number (9372399192).

Almost surely, 2206148452238 is an apocalyptic number.

206148452238 is an abundant number, since it is smaller than the sum of its proper divisors (243726708978).

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

206148452238 is a wasteful number, since it uses less digits than its factorization.

206148452238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44389 (or 44386 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 206148452238 in words is "two hundred six billion, one hundred forty-eight million, four hundred fifty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 1787 2718 3574 5361 10722 16083 32166 42443 84886 127329 254658 269837 381987 539674 763974 809511 1619022 2428533 4857066 6408893 12817786 19226679 38453358 57680037 75845641 115360074 151691282 227536923 455073846 682610769 1365221538 11452691791 22905383582 34358075373 68716150746 103074226119 206148452238