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5435300035345 = 541271428922811
BaseRepresentation
bin100111100011000000100…
…1000001011101100010001
3201020121110101221002110111
41033012001020023230101
51203022443302112340
615320535315001321
71100454542004115
oct117060110135421
921217411832414
105435300035345
111806109198994
12739492b99241
13305714b3718b
1414b0d9c37745
15965b81b4aea
hex4f18120bb11

5435300035345 has 32 divisors (see below), whose sum is σ = 6707954373120. Its totient is φ = 4225360896000.

The previous prime is 5435300035339. The next prime is 5435300035349.

5435300035345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5435300035345 - 23 = 5435300035337 is a prime.

It is a super-3 number, since 3×54353000353453 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5435300035298 and 5435300035307.

It is not an unprimeable number, because it can be changed into a prime (5435300035349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238263990 + ... + 238286800.

It is an arithmetic number, because the mean of its divisors is an integer number (209623574160).

Almost surely, 25435300035345 is an apocalyptic number.

It is an amenable number.

5435300035345 is a deficient number, since it is larger than the sum of its proper divisors (1272654337775).

5435300035345 is a wasteful number, since it uses less digits than its factorization.

5435300035345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27417.

The product of its (nonzero) digits is 810000, while the sum is 40.

It can be divided in two parts, 54353000 and 35345, that added together give a palindrome (54388345).

The spelling of 5435300035345 in words is "five trillion, four hundred thirty-five billion, three hundred million, thirty-five thousand, three hundred forty-five".

Divisors: 1 5 41 205 271 1355 4289 11111 21445 22811 55555 114055 175849 879245 935251 1162319 4676255 5811595 6181781 30908905 47655079 97836379 238275395 253453021 489181895 1267265105 4011291539 20056457695 26513658709 132568293545 1087060007069 5435300035345