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1057269940449 = 31939112004421
BaseRepresentation
bin11110110001010100011…
…00110000000011100001
310202001222221220211120120
433120222030300003201
5114310242101043244
62125411512030453
7136246064133312
oct17305214600341
93661887824516
101057269940449
11378427355898
12150aa5692429
1378914246178
143925a4c0609
151c77e497819
hexf62a3300e1

1057269940449 has 16 divisors (see below), whose sum is σ = 1418553502464. Its totient is φ = 700424524800.

The previous prime is 1057269940421. The next prime is 1057269940469. The reversal of 1057269940449 is 9440499627501.

It is a de Polignac number, because none of the positive numbers 2k-1057269940449 is a prime.

It is a super-2 number, since 2×10572699404492 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1057269940392 and 1057269940401.

It is not an unprimeable number, because it can be changed into a prime (1057269940469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474742 + ... + 1529679.

It is an arithmetic number, because the mean of its divisors is an integer number (88659593904).

Almost surely, 21057269940449 is an apocalyptic number.

It is an amenable number.

1057269940449 is a deficient number, since it is larger than the sum of its proper divisors (361283562015).

1057269940449 is a wasteful number, since it uses less digits than its factorization.

1057269940449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005528.

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1057269940449 in words is "one trillion, fifty-seven billion, two hundred sixty-nine million, nine hundred forty thousand, four hundred forty-nine".

Divisors: 1 3 193 579 911 2733 175823 527469 2004421 6013263 386853253 1160559759 1826027531 5478082593 352423313483 1057269940449