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54374888847345 = 35113172714622389
BaseRepresentation
bin11000101110100001000111…
…11011110011011111110001
321010112012002111100121110220
430113100203323303133301
524111334233021103340
6311351251252243253
714311312302151533
oct1427204373633761
9233465074317426
1054374888847345
1116364296227430
126122274310529
1324456b75a6621
14d5da89aab853
15644637bd6ed0
hex317423ef37f1

54374888847345 has 64 divisors (see below), whose sum is σ = 98105240862720. Its totient is φ = 25478048851200.

The previous prime is 54374888847343. The next prime is 54374888847347.

54374888847345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54374888847343) and next prime (54374888847347).

It is not a de Polignac number, because 54374888847345 - 21 = 54374888847343 is a prime.

It is a super-2 number, since 2×543748888473452 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54374888847343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3592590 + ... + 11029799.

It is an arithmetic number, because the mean of its divisors is an integer number (1532894388480).

Almost surely, 254374888847345 is an apocalyptic number.

54374888847345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54374888847345 is a deficient number, since it is larger than the sum of its proper divisors (43730352015375).

54374888847345 is a wasteful number, since it uses less digits than its factorization.

54374888847345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14623166.

The product of its digits is 11560550400, while the sum is 78.

The spelling of 54374888847345 in words is "fifty-four trillion, three hundred seventy-four billion, eight hundred eighty-eight million, eight hundred forty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 727 1023 1705 2181 3635 5115 7997 10905 22537 23991 39985 67611 112685 119955 247907 338055 743721 1239535 3718605 14622389 43867167 73111945 160846279 219335835 453294059 482538837 804231395 1359882177 2266470295 2412694185 4986234649 6799410885 10630476803 14958703947 24931173245 31891430409 53152384015 74793519735 116935244833 159457152045 329544780893 350805734499 584676224165 988634342679 1647723904465 1754028672495 3624992589823 4943171713395 10874977769469 18124962949115 54374888847345