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57261175000337 = 71113917330924923
BaseRepresentation
bin11010000010100001001111…
…11111101100110100010001
321111202010002201221221012202
431001100213333230310101
530001131341300002322
6321441230505332545
715026661203520110
oct1501204777546421
9244663081857182
1057261175000337
1117277367545850
126509723797155
1325c4923378109
14101d654477c77
15694764284292
hex341427fecd11

57261175000337 has 32 divisors (see below), whose sum is σ = 72319790269440. Its totient is φ = 44042036915520.

The previous prime is 57261175000307. The next prime is 57261175000417. The reversal of 57261175000337 is 73300057116275.

57261175000337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57261175000337 - 210 = 57261174999313 is a prime.

It is a super-2 number, since 2×572611750003372 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57261175000291 and 57261175000300.

It is not an unprimeable number, because it can be changed into a prime (57261175000307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13610843 + ... + 17314080.

It is an arithmetic number, because the mean of its divisors is an integer number (2259993445920).

Almost surely, 257261175000337 is an apocalyptic number.

It is an amenable number.

57261175000337 is a deficient number, since it is larger than the sum of its proper divisors (15058615269103).

57261175000337 is a wasteful number, since it uses less digits than its factorization.

57261175000337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30925253.

The product of its (nonzero) digits is 926100, while the sum is 47.

The spelling of 57261175000337 in words is "fifty-seven trillion, two hundred sixty-one billion, one hundred seventy-five million, three hundred thirty-seven", and thus it is an aban number.

Divisors: 1 7 11 77 139 173 973 1211 1529 1903 10703 13321 24047 168329 264517 1851619 30924923 216474461 340174153 2381219071 4298564297 5350011679 30089950079 37450081753 47284207267 58850128469 330989450869 411950899283 743651623381 5205561363667 8180167857191 57261175000337