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4257528257524 = 2297101990110973
BaseRepresentation
bin111101111101001000011…
…101011001101111110100
3120002000102110112122221011
4331331020131121233310
51024223404213220044
613015514222202004
7616411343036413
oct75751035315764
916060373478834
104257528257524
1113a1675787153
12589179723304
1324b63875a479
1410a0cb8db47a
1575b34b89134
hex3df48759bf4

4257528257524 has 48 divisors (see below), whose sum is σ = 7603475752656. Its totient is φ = 2085557760000.

The previous prime is 4257528257501. The next prime is 4257528257551.

It is a happy number.

4257528257524 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1322707008100 + 2934821249424 = 1150090^2 + 1713132^2 .

It is a super-2 number, since 2×42575282575242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387994902 + ... + 388005874.

It is an arithmetic number, because the mean of its divisors is an integer number (158405744847).

Almost surely, 24257528257524 is an apocalyptic number.

It is an amenable number.

4257528257524 is a deficient number, since it is larger than the sum of its proper divisors (3345947495132).

4257528257524 is a wasteful number, since it uses less digits than its factorization.

4257528257524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21076 (or 21074 counting only the distinct ones).

The product of its digits is 62720000, while the sum is 58.

The spelling of 4257528257524 in words is "four trillion, two hundred fifty-seven billion, five hundred twenty-eight million, two hundred fifty-seven thousand, five hundred twenty-four".

Divisors: 1 2 4 97 101 194 202 388 404 9797 9901 10973 19594 19802 21946 39188 39604 43892 960397 1000001 1064381 1108273 1920794 2000002 2128762 2216546 3841588 4000004 4257524 4433092 97000097 107502481 108643673 194000194 215004962 217287346 388000388 430009924 434574692 10538436281 10973010973 21076872562 21946021946 42153745124 43892043892 1064382064381 2128764128762 4257528257524