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208874305416 = 233717257284573
BaseRepresentation
bin1100001010000111100…
…0001111011110001000
3201222010210212002221210
43002201320033132020
511410233310233131
6235542221133120
721043046205360
oct3024170173610
9658123762853
10208874305416
1180646111207
12345936ba1a0
1316909a3057a
14a1769379a0
1556775c3146
hex30a1e0f788

208874305416 has 128 divisors (see below), whose sum is σ = 634349594880. Its totient is φ = 55949131776.

The previous prime is 208874305403. The next prime is 208874305427. The reversal of 208874305416 is 614503478802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591706 + ... + 876278.

It is an arithmetic number, because the mean of its divisors is an integer number (4955856210).

Almost surely, 2208874305416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208874305416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317174797440).

208874305416 is an abundant number, since it is smaller than the sum of its proper divisors (425475289464).

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

208874305416 is a wasteful number, since it uses less digits than its factorization.

208874305416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284863 (or 284859 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 208874305416 in words is "two hundred eight billion, eight hundred seventy-four million, three hundred five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 257 357 408 476 514 714 771 952 1028 1428 1542 1799 2056 2856 3084 3598 4369 5397 6168 7196 8738 10794 13107 14392 17476 21588 26214 30583 34952 43176 52428 61166 91749 104856 122332 183498 244664 284573 366996 569146 733992 853719 1138292 1707438 1992011 2276584 3414876 3984022 4837741 5976033 6829752 7968044 9675482 11952066 14513223 15936088 19350964 23904132 29026446 33864187 38701928 47808264 58052892 67728374 73135261 101592561 116105784 135456748 146270522 203185122 219405783 270913496 292541044 406370244 438811566 511946827 585082088 812740488 877623132 1023893654 1243299437 1535840481 1755246264 2047787308 2486598874 3071680962 3729898311 4095574616 4973197748 6143361924 7459796622 8703096059 9946395496 12286723848 14919593244 17406192118 26109288177 29839186488 34812384236 52218576354 69624768472 104437152708 208874305416