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521424444424125 = 353112101113776711
BaseRepresentation
bin111011010001110111001011…
…0110010010111111110111101
32112101012200122001112100112210
41312203232112302113332331
51021321004230233033000
65044551025523251033
7214554446550014304
oct16643562662277675
92471180561470483
10521424444424125
11141161957408800
124a593673519a79
13194c4163974678
1492a911356943b
1540436a6921350
hex1da3b96c97fbd

521424444424125 has 96 divisors (see below), whose sum is σ = 963140801995008. Its totient is φ = 250308762000000.

The previous prime is 521424444424057. The next prime is 521424444424139.

521424444424125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 521424444424125 - 213 = 521424444415933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52305481 + ... + 61471230.

It is an arithmetic number, because the mean of its divisors is an integer number (10032716687448).

Almost surely, 2521424444424125 is an apocalyptic number.

521424444424125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521424444424125 is a deficient number, since it is larger than the sum of its proper divisors (441716357570883).

521424444424125 is a wasteful number, since it uses less digits than its factorization.

521424444424125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113776852 (or 113776831 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 48.

The spelling of 521424444424125 in words is "five hundred twenty-one trillion, four hundred twenty-four billion, four hundred forty-four million, four hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 101 121 125 165 275 303 363 375 505 605 825 1111 1375 1515 1815 2525 3025 3333 4125 5555 7575 9075 12221 12625 15125 16665 27775 36663 37875 45375 61105 83325 138875 183315 305525 416625 916575 1527625 4582875 113776711 341330133 568883555 1251543821 1706650665 2844417775 3754631463 6257719105 8533253325 11491447811 13766982031 14222088875 18773157315 31288595525 34474343433 41300946093 42666266625 57457239055 68834910155 93865786575 126405925921 156442977625 172371717165 206504730465 287286195275 344174550775 379217777763 469328932875 632029629605 861858585825 1032523652325 1390465185131 1436430976375 1720872753875 1896088888815 3160148148025 4171395555393 4309292929125 5162618261625 6952325925655 9480444444075 15800740740125 20856977776965 34761629628275 47402222220375 104284888884825 173808148141375 521424444424125