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257121091429376 = 210330537596733
BaseRepresentation
bin111010011101100110101011…
…010100011010010000000000
31020201101112110221122021020012
4322131212223110122100000
5232200132443401220001
62310503444310004052
7105105246224340326
oct7235465324322000
91221345427567205
10257121091429376
1174a21495a84949
1224a07959346628
13b061551664425
14476ca27717d16
151ead49a0e52bb
hexe9d9ab51a400

257121091429376 has 44 divisors (see below), whose sum is σ = 514006706216892. Its totient is φ = 128556639264768.

The previous prime is 257121091429373. The next prime is 257121091429387. The reversal of 257121091429376 is 673924190121752.

It can be written as a sum of positive squares in 2 ways, for example, as 140579912089600 + 116541179339776 = 11856640^2 + 10795424^2 .

It is a super-2 number, since 2×2571210914293762 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257121091429373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30047906 + ... + 37644638.

Almost surely, 2257121091429376 is an apocalyptic number.

It is an amenable number.

257121091429376 is a deficient number, since it is larger than the sum of its proper divisors (256885614787516).

257121091429376 is an equidigital number, since it uses as much as digits as its factorization.

257121091429376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629806 (or 7629788 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 257121091429376 in words is "two hundred fifty-seven trillion, one hundred twenty-one billion, ninety-one million, four hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 33053 66106 132212 264424 528848 1057696 2115392 4230784 7596733 8461568 15193466 16923136 30386932 33846272 60773864 121547728 243095456 486190912 972381824 1944763648 3889527296 7779054592 251094815849 502189631698 1004379263396 2008758526792 4017517053584 8035034107168 16070068214336 32140136428672 64280272857344 128560545714688 257121091429376