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4374103746768 = 243719685166627
BaseRepresentation
bin111111101001101100111…
…001100110100011010000
3120111011022210220002210220
4333221230321212203100
51033131131024344033
613145234023353040
7631006240250430
oct77515471464320
916434283802726
104374103746768
111437057594698
125a78925b2780
132596263193c2
141119ca0d62c0
1578ba9194bb3
hex3fa6ce668d0

4374103746768 has 80 divisors (see below), whose sum is σ = 13593705899520. Its totient is φ = 1183967929728.

The previous prime is 4374103746679. The next prime is 4374103746791. The reversal of 4374103746768 is 8676473014734.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342576930 + ... + 342589697.

It is an arithmetic number, because the mean of its divisors is an integer number (169921323744).

Almost surely, 24374103746768 is an apocalyptic number.

4374103746768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4374103746768 is an abundant number, since it is smaller than the sum of its proper divisors (9219602152752).

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

4374103746768 is a wasteful number, since it uses less digits than its factorization.

4374103746768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685166664 (or 685166658 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 4374103746768 in words is "four trillion, three hundred seventy-four billion, one hundred three million, seven hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 685166627 1370333254 2055499881 2740666508 4110999762 4796166389 5481333016 8221999524 9592332778 10962666032 13018165913 14388499167 16443999048 19184665556 26036331826 28776998334 32887998096 38369331112 39054497739 52072663652 57553996668 76738662224 78108995478 91127161391 104145327304 115107993336 156217990956 182254322782 208290654608 230215986672 273381484173 312435981912 364508645564 546762968346 624871963824 729017291128 1093525936692 1458034582256 2187051873384 4374103746768