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54334411443345 = 35111392369060887
BaseRepresentation
bin11000101101010101101110…
…10010110000110010010001
321010101022121112222102210210
430112222313102300302101
524110203333312141340
6311320514541114333
714305350236664405
oct1426526722606221
9233338545872723
1054334411443345
1116349104845730
1261164585589a9
132441936650bb7
14d5bb29d4b105
1564356934c180
hex316ab74b0c91

54334411443345 has 32 divisors (see below), whose sum is σ = 95520535004160. Its totient is φ = 26154432181440.

The previous prime is 54334411443343. The next prime is 54334411443451.

54334411443345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54334411443345 - 21 = 54334411443343 is a prime.

It is a super-2 number, since 2×543344114433452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54334411443294 and 54334411443303.

It is not an unprimeable number, because it can be changed into a prime (54334411443343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184507509 + ... + 1184553378.

It is an arithmetic number, because the mean of its divisors is an integer number (2985016718880).

Almost surely, 254334411443345 is an apocalyptic number.

54334411443345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54334411443345 is a deficient number, since it is larger than the sum of its proper divisors (41186123560815).

54334411443345 is a wasteful number, since it uses less digits than its factorization.

54334411443345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369061045.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 5433441 and 1443345, that added together give a palindrome (6876786).

The spelling of 54334411443345 in words is "fifty-four trillion, three hundred thirty-four billion, four hundred eleven million, four hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 55 139 165 417 695 1529 2085 4587 7645 22935 2369060887 7107182661 11845304435 26059669757 35535913305 78179009271 130298348785 329299463293 390895046355 987898389879 1646497316465 3622294096223 4939491949395 10866882288669 18111470481115 54334411443345