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57638233283675 = 5211349395998843
BaseRepresentation
bin11010001101011111100100…
…11010111001110001011011
321120002011100120122100022212
431012233302122321301123
530023321100210034200
6322330345553105335
715066140103165602
oct1506576232716133
9246064316570285
1057638233283675
1117402268076930
12656a81385824b
132621353a22a85
1410339c37a0a39
1569e481a32035
hex346bf26b9c5b

57638233283675 has 24 divisors (see below), whose sum is σ = 77971054681920. Its totient is φ = 41917508359200.

The previous prime is 57638233283671. The next prime is 57638233283689.

It is a happy number.

57638233283675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57638233283675 - 22 = 57638233283671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57638233283671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6608804 + ... + 12607646.

It is an arithmetic number, because the mean of its divisors is an integer number (3248793945080).

Almost surely, 257638233283675 is an apocalyptic number.

57638233283675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57638233283675 is a deficient number, since it is larger than the sum of its proper divisors (20332821398245).

57638233283675 is a wasteful number, since it uses less digits than its factorization.

57638233283675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033803 (or 6033798 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 68.

The spelling of 57638233283675 in words is "fifty-seven trillion, six hundred thirty-eight billion, two hundred thirty-three million, two hundred eighty-three thousand, six hundred seventy-five".

Divisors: 1 5 11 25 55 275 34939 174695 384329 873475 1921645 5998843 9608225 29994215 65987273 149971075 329936365 1649681825 209593575577 1047967877885 2305529331347 5239839389425 11527646656735 57638233283675