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5465430345645 = 335174750669173
BaseRepresentation
bin100111110001000010100…
…0010001100011110101101
3201100111020020102102222000
41033202011002030132231
51204021200132030040
615342441204042513
71102602313265304
oct117420502143655
921314206372860
105465430345645
11181796aa45a86
127432a1693439
133085071c605a
1414c7576c343b
159727d47e130
hex4f88508c7ad

5465430345645 has 64 divisors (see below), whose sum is σ = 10506759920640. Its totient is φ = 2685060762624.

The previous prime is 5465430345587. The next prime is 5465430345647.

5465430345645 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 43 + 0 + 34 + 564 + 5 = 666.

5465430345645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5465430345645 - 26 = 5465430345581 is a prime.

It is a super-3 number, since 3×54654303456453 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5465430345591 and 5465430345600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465430345647) 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, 25226722 + ... + 25442451.

It is an arithmetic number, because the mean of its divisors is an integer number (164168123760).

Almost surely, 25465430345645 is an apocalyptic number.

It is an amenable number.

5465430345645 is a deficient number, since it is larger than the sum of its proper divisors (5041329574995).

5465430345645 is a wasteful number, since it uses less digits than its factorization.

5465430345645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50669251 (or 50669245 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 5465430345645 in words is "five trillion, four hundred sixty-five billion, four hundred thirty million, three hundred forty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 47 51 85 135 141 153 235 255 423 459 705 765 799 1269 2115 2295 2397 3995 6345 7191 11985 21573 35955 107865 50669173 152007519 253345865 456022557 760037595 861375941 1368067671 2280112785 2381451131 2584127823 4306879705 6840338355 7144353393 7752383469 11907255655 12920639115 21433060179 23257150407 35721766965 38761917345 40484669227 64299180537 107165300895 116285752035 121454007681 202423346135 321495902685 364362023043 607270038405 1093086069129 1821810115215 5465430345645