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524342243425 = 527111321611749
BaseRepresentation
bin1111010000101010011…
…10111011000001100001
31212010102022102210122211
413220111032323001201
532042323103242200
61040513550002121
752611455350150
oct7502516730141
91763368383584
10524342243425
11192410588250
12857551a6341
133a5a3315900
141b5420ab597
15d98cbc9aba
hex7a153bb061

524342243425 has 72 divisors (see below), whose sum is σ = 877771944000. Its totient is φ = 301719225600.

The previous prime is 524342243417. The next prime is 524342243429.

524342243425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 524342243425 - 23 = 524342243417 is a prime.

It is a super-3 number, since 3×5243422434253 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (524342243429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 480550 + ... + 1131199.

It is an arithmetic number, because the mean of its divisors is an integer number (12191277000).

Almost surely, 2524342243425 is an apocalyptic number.

524342243425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

524342243425 is a deficient number, since it is larger than the sum of its proper divisors (353429700575).

524342243425 is a wasteful number, since it uses less digits than its factorization.

524342243425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611803 (or 1611785 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

It can be divided in two parts, 524342 and 243425, that added together give a palindrome (767767).

The spelling of 524342243425 in words is "five hundred twenty-four billion, three hundred forty-two million, two hundred forty-three thousand, four hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 169 175 275 325 385 455 715 845 1001 1183 1859 1925 2275 3575 4225 5005 5915 9295 13013 25025 29575 46475 65065 325325 1611749 8058745 11282243 17729239 20952737 40293725 56411215 88646195 104763685 124104673 146669159 230480107 272385581 282056075 443230975 523818425 620523365 733345795 1152400535 1361927905 1613360749 1906699067 2996241391 3102616825 3666728975 5762002675 6809639525 8066803745 9533495335 14981206955 20973689737 40334018725 47667476675 74906034775 104868448685 524342243425