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10643254344040 = 235266081358601
BaseRepresentation
bin1001101011100001001101…
…1001001111100101101000
31101200111002200202122120211
42122320103121033211220
52343334341103002130
634345235450030504
72145643523142523
oct232702331174550
941614080678524
1010643254344040
11343386267648a
12123a898418434
135c2868153536
1428b1c9c73bba
15136cc732ca2a
hex9ae1364f968

10643254344040 has 16 divisors (see below), whose sum is σ = 23947322274180. Its totient is φ = 4257301737600.

The previous prime is 10643254343999. The next prime is 10643254344059. The reversal of 10643254344040 is 4044345234601.

10643254344040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10555260240996 + 87994103044 = 3248886^2 + 296638^2 .

It is a super-2 number, since 2×106432543440402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 266081358601 = 10643254344040 / (1 + 0 + 6 + 4 + 3 + 2 + 5 + 4 + 3 + 4 + 4 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10643254343984 and 10643254344002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133040679261 + ... + 133040679340.

Almost surely, 210643254344040 is an apocalyptic number.

10643254344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10643254344040 is an abundant number, since it is smaller than the sum of its proper divisors (13304067930140).

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

10643254344040 is a wasteful number, since it uses less digits than its factorization.

10643254344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266081358612 (or 266081358608 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 10643254344040 its reverse (4044345234601), we get a palindrome (14687599578641).

The spelling of 10643254344040 in words is "ten trillion, six hundred forty-three billion, two hundred fifty-four million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 266081358601 532162717202 1064325434404 1330406793005 2128650868808 2660813586010 5321627172020 10643254344040