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424256525652424 = 23411936701891281
BaseRepresentation
bin110000001110110111110101…
…1100000010101000111001000
32001122011112020201200200002111
41200131233223200111013020
5421102004331031334144
64102152431322112104
7155235344131023013
oct14035575340250710
92048145221620074
10424256525652424
111131aa200427823
123b6bb91004b634
13152962ac64c09a
1476aa1a817837a
15340ad44b05534
hex181dbeb8151c8

424256525652424 has 32 divisors (see below), whose sum is σ = 819105152486040. Its totient is φ = 205882100121600.

The previous prime is 424256525652353. The next prime is 424256525652457.

424256525652424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 330916774089924 + 93339751562500 = 18191118^2 + 9661250^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3350882337 + ... + 3351008944.

Almost surely, 2424256525652424 is an apocalyptic number.

It is an amenable number.

424256525652424 is a deficient number, since it is larger than the sum of its proper divisors (394848626833616).

424256525652424 is a wasteful number, since it uses less digits than its factorization.

424256525652424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701891521 (or 6701891517 counting only the distinct ones).

The product of its digits is 184320000, while the sum is 58.

The spelling of 424256525652424 in words is "four hundred twenty-four trillion, two hundred fifty-six billion, five hundred twenty-five million, six hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 41 82 164 193 328 386 772 1544 7913 15826 31652 63304 6701891281 13403782562 26807565124 53615130248 274777542521 549555085042 1099110170084 1293465017233 2198220340168 2586930034466 5173860068932 10347720137864 53032065706553 106064131413106 212128262826212 424256525652424