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9934297104385 = 517259393712373
BaseRepresentation
bin1001000010010000001001…
…0000000000000000000001
31022011201011020122100000001
42100210002100000000001
52300230420024320020
633043430400000001
72043505100060623
oct220440220000001
938151136570001
109934297104385
113190125802095
121145400000001
13570a530583b4
14264b730c8c13
15123631be350a
hex90902400001

9934297104385 has 48 divisors (see below), whose sum is σ = 12699570136176. Its totient is φ = 7458755346432.

The previous prime is 9934297104377. The next prime is 9934297104463. The reversal of 9934297104385 is 5834017924399.

It is a Cunningham number, because it is equal to 31518722+1.

It can be written as a sum of positive squares in 24 ways, for example, as 4857585144049 + 5076711960336 = 2203993^2 + 2253156^2 .

It is not a de Polignac number, because 9934297104385 - 23 = 9934297104377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802895059 + ... + 802907431.

It is an arithmetic number, because the mean of its divisors is an integer number (264574377837).

It is a Proth number, since it is equal to 2368521 ⋅ 222 + 1 and 2368521 < 222.

Almost surely, 29934297104385 is an apocalyptic number.

It is an amenable number.

9934297104385 is a deficient number, since it is larger than the sum of its proper divisors (2765273031791).

9934297104385 is a wasteful number, since it uses less digits than its factorization.

9934297104385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 9934297104385 in words is "nine trillion, nine hundred thirty-four billion, two hundred ninety-seven million, one hundred four thousand, three hundred eighty-five".

Divisors: 1 5 17 85 289 593 937 1445 2965 4685 10081 12373 15929 50405 61865 79645 171377 210341 270793 555641 856885 1051705 1353965 2778205 3575797 7337189 9445897 11593501 17878985 36685945 47229485 57967505 124732213 160580249 197089517 623661065 802901245 985447585 2120447621 3350521789 6874946093 10602238105 16752608945 34374730465 116874083581 584370417905 1986859420877 9934297104385