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10144838857 is a prime number
BaseRepresentation
bin10010111001010110…
…11111010011001001
3222012000022012200111
421130223133103021
5131234034320412
64354355034321
7506253464446
oct113453372311
928160265614
1010144838857
11433655164a
121b7159b9a1
13c58a0013a
146c34a69cd
153e596d2a7
hex25cadf4c9

10144838857 has 2 divisors, whose sum is σ = 10144838858. Its totient is φ = 10144838856.

The previous prime is 10144838831. The next prime is 10144838887. The reversal of 10144838857 is 75883844101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5550846016 + 4593992841 = 74504^2 + 67779^2 .

It is a cyclic number.

It is not a de Polignac number, because 10144838857 - 27 = 10144838729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10144838857.

It is not a weakly prime, because it can be changed into another prime (10144838887) by changing a digit.

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 as a sum of consecutive naturals, namely, 5072419428 + 5072419429.

It is an arithmetic number, because the mean of its divisors is an integer number (5072419429).

Almost surely, 210144838857 is an apocalyptic number.

It is an amenable number.

10144838857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10144838857 is an equidigital number, since it uses as much as digits as its factorization.

10144838857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 10144838857 in words is "ten billion, one hundred forty-four million, eight hundred thirty-eight thousand, eight hundred fifty-seven".