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10357074992257 = 7223411811238371
BaseRepresentation
bin1001011010110111000111…
…0001101001110010000001
31100200010102100211022000121
42112231301301221302001
52324142242144223012
634005550301220241
72116162654610200
oct226556161516201
940603370738017
1010357074992257
113333457908804
1211b332b561681
135a188b7289a6
1427b3dc47d237
1512e628175a07
hex96b71c69c81

10357074992257 has 48 divisors (see below), whose sum is σ = 12949646097024. Its totient is φ = 8238627936000.

The previous prime is 10357074992249. The next prime is 10357074992291. The reversal of 10357074992257 is 75229947075301.

It is not a de Polignac number, because 10357074992257 - 23 = 10357074992249 is a prime.

It is a super-3 number, since 3×103570749922573 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10357074992195 and 10357074992204.

It is not an unprimeable number, because it can be changed into a prime (10357074993257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7744282 + ... + 8982652.

It is an arithmetic number, because the mean of its divisors is an integer number (269784293688).

Almost surely, 210357074992257 is an apocalyptic number.

It is an amenable number.

10357074992257 is a deficient number, since it is larger than the sum of its proper divisors (2592571104767).

10357074992257 is a wasteful number, since it uses less digits than its factorization.

10357074992257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238630 (or 1238623 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 61.

The spelling of 10357074992257 in words is "ten trillion, three hundred fifty-seven billion, seventy-four million, nine hundred ninety-two thousand, two hundred fifty-seven".

Divisors: 1 7 23 41 49 161 181 287 943 1127 1267 2009 4163 6601 7421 8869 29141 46207 51947 170683 203987 363629 1194781 1238371 8363467 8668597 28482533 50773211 60680179 199377731 224145151 355412477 1167783853 1395644117 1569016057 2487887339 5155338473 8174486971 9189951191 10983112399 36087369311 57221408797 64329658337 211368877393 252611585177 450307608359 1479582141751 10357074992257