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10437780019289 = 722912375938057
BaseRepresentation
bin1001011111100011110000…
…1010111001100001011001
31100221211201211120110021212
42113320330022321201121
52332003033141104124
634111014442112505
72125050630201200
oct227707412714131
940854654513255
1010437780019289
113364701788057
121206ab34ab735
135a938094005c
14281296b00237
1513179d4ab40e
hex97e3c2b9859

10437780019289 has 24 divisors (see below), whose sum is σ = 12570750024840. Its totient is φ = 8631178166016.

The previous prime is 10437780019273. The next prime is 10437780019319. The reversal of 10437780019289 is 98291008773401.

It can be written as a sum of positive squares in 4 ways, for example, as 4410558617689 + 6027221401600 = 2100133^2 + 2455040^2 .

It is not a de Polignac number, because 10437780019289 - 24 = 10437780019273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10437780016289) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1211252 + ... + 4726805.

It is an arithmetic number, because the mean of its divisors is an integer number (523781251035).

Almost surely, 210437780019289 is an apocalyptic number.

It is an amenable number.

10437780019289 is a deficient number, since it is larger than the sum of its proper divisors (2132970005551).

10437780019289 is a wasteful number, since it uses less digits than its factorization.

10437780019289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939337 (or 5939330 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 59.

The spelling of 10437780019289 in words is "ten trillion, four hundred thirty-seven billion, seven hundred eighty million, nineteen thousand, two hundred eighty-nine".

Divisors: 1 7 29 49 203 1237 1421 8659 35873 60613 251111 1757777 5938057 41566399 172203653 290964793 1205425571 7345376509 8437978997 51417635563 213015918761 359923448941 1491111431327 10437780019289