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5345242425435 = 351124915998039
BaseRepresentation
bin100110111001000100101…
…0001101010100001011011
3200221000000010122111101210
41031302021101222201123
51200034024030103220
615211323115514203
71061116042646463
oct115621121524133
920830003574353
105345242425435
1117809a4aa9700
12723b3aa58963
132ca0920c3ac3
141469d5420ba3
1594096c586e0
hex4dc8946a85b

5345242425435 has 48 divisors (see below), whose sum is σ = 9419705890560. Its totient is φ = 2586353985600.

The previous prime is 5345242425373. The next prime is 5345242425461.

5345242425435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5345242425435 - 29 = 5345242424923 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2107855 + ... + 3890184.

It is an arithmetic number, because the mean of its divisors is an integer number (196243872720).

Almost surely, 25345242425435 is an apocalyptic number.

5345242425435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5345242425435 is a deficient number, since it is larger than the sum of its proper divisors (4074463465125).

5345242425435 is a wasteful number, since it uses less digits than its factorization.

5345242425435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998560 (or 5998549 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 48.

The spelling of 5345242425435 in words is "five trillion, three hundred forty-five billion, two hundred forty-two million, four hundred twenty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 491 605 1473 1815 2455 5401 7365 16203 27005 59411 81015 178233 297055 891165 5998039 17994117 29990195 65978429 89970585 197935287 329892145 725762719 989676435 2177288157 2945037149 3628813595 8835111447 10886440785 14725185745 32395408639 44175557235 97186225917 161977043195 356349495029 485931129585 1069048485087 1781747475145 5345242425435