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348350778805 = 52361831973037
BaseRepresentation
bin1010001000110110101…
…00110000110110110101
31020022011011110002012111
411010123110300312311
521201410244410210
6424010302051021
734111312523131
oct5043324606665
91208134402174
10348350778805
11124809a2a027
1257619b79a71
1326b06cc0ab3
1412c088083c1
1590dc38088a
hex511b530db5

348350778805 has 64 divisors (see below), whose sum is σ = 451114126848. Its totient is φ = 257635445760.

The previous prime is 348350778793. The next prime is 348350778817. The reversal of 348350778805 is 508877053843.

It is an interprime number because it is at equal distance from previous prime (348350778793) and next prime (348350778817).

It is not a de Polignac number, because 348350778805 - 219 = 348350254517 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 348350778805.

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 63 ways as a sum of consecutive naturals, for example, 114700747 + ... + 114703783.

It is an arithmetic number, because the mean of its divisors is an integer number (7048658232).

Almost surely, 2348350778805 is an apocalyptic number.

It is an amenable number.

348350778805 is a deficient number, since it is larger than the sum of its proper divisors (102763348043).

348350778805 is a wasteful number, since it uses less digits than its factorization.

348350778805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406.

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 348350778805 in words is "three hundred forty-eight billion, three hundred fifty million, seven hundred seventy-eight thousand, eight hundred five".

Divisors: 1 5 23 61 83 115 197 305 415 985 1403 1909 3037 4531 5063 7015 9545 12017 15185 16351 22655 25315 60085 69851 81755 116449 185257 252071 276391 349255 376073 582245 598289 926285 997411 1260355 1381955 1880365 2991445 4260911 4987055 5797633 13760647 15376331 21304555 22940453 28988165 36495629 49657987 68803235 76881655 114702265 182478145 248289935 353655613 839399467 1142133701 1768278065 3029137207 4196997335 5710668505 15145686035 69670155761 348350778805