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424244818525 = 521121131816857
BaseRepresentation
bin1100010110001101111…
…01100011001001011101
31111120001100110202120111
412023012331203021131
523422323133143100
6522521222450021
742436116313063
oct6130675431135
91446040422514
10424244818525
11153a1515a400
126a27a893911
13310105847c8
141676812a033
15b0801486ba
hex62c6f6325d

424244818525 has 72 divisors (see below), whose sum is σ = 586660779432. Its totient is φ = 304077312000.

The previous prime is 424244818523. The next prime is 424244818577. The reversal of 424244818525 is 525818442424.

It can be written as a sum of positive squares in 12 ways, for example, as 424075766521 + 169052004 = 651211^2 + 13002^2 .

It is not a de Polignac number, because 424244818525 - 21 = 424244818523 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424244818523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61866897 + ... + 61873753.

It is an arithmetic number, because the mean of its divisors is an integer number (8148066381).

Almost surely, 2424244818525 is an apocalyptic number.

It is an amenable number.

424244818525 is a deficient number, since it is larger than the sum of its proper divisors (162415960907).

424244818525 is a wasteful number, since it uses less digits than its factorization.

424244818525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183 (or 7167 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 49.

The spelling of 424244818525 in words is "four hundred twenty-four billion, two hundred forty-four million, eight hundred eighteen thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 113 121 181 275 565 605 905 1243 1991 2825 3025 4525 6215 6857 9955 13673 20453 21901 31075 34285 49775 68365 75427 102265 109505 171425 224983 341825 377135 511325 547525 774841 829697 1124915 1241117 1885675 2474813 3874205 4148485 5624575 6205585 8523251 12374065 13652287 19371025 20742425 31027925 42616255 61870325 68261435 93755761 140246221 150175157 213081275 341307175 468778805 701231105 750875785 1542708431 2343894025 3506155525 3754378925 7713542155 16969792741 38567710775 84848963705 424244818525