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426648820653 = 3211192231017131
BaseRepresentation
bin1100011010101100100…
…00000101101110101101
31111210020220000201112100
412031112100011232231
523442234044230103
6523555540525313
742552520065456
oct6152620055655
91453226021470
10426648820653
11154a39155820
126a82b9b0839
1331304641c83
141691550c12d
15b1712105a3
hex6356405bad

426648820653 has 48 divisors (see below), whose sum is σ = 710853212160. Its totient is φ = 243867088800.

The previous prime is 426648820573. The next prime is 426648820679. The reversal of 426648820653 is 356028846624.

It is a happy number.

426648820653 is a `hidden beast` number, since 42 + 66 + 488 + 2 + 0 + 65 + 3 = 666.

It is not a de Polignac number, because 426648820653 - 220 = 426647772077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 426648820653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426648820693) 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 47 ways as a sum of consecutive naturals, for example, 89103 + ... + 928028.

It is an arithmetic number, because the mean of its divisors is an integer number (14809441920).

Almost surely, 2426648820653 is an apocalyptic number.

It is an amenable number.

426648820653 is a deficient number, since it is larger than the sum of its proper divisors (284204391507).

426648820653 is a wasteful number, since it uses less digits than its factorization.

426648820653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017390 (or 1017387 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 426648820653 in words is "four hundred twenty-six billion, six hundred forty-eight million, eight hundred twenty thousand, six hundred fifty-three".

Divisors: 1 3 9 11 19 33 57 99 171 209 223 627 669 1881 2007 2453 4237 7359 12711 22077 38133 46607 139821 419463 1017131 3051393 9154179 11188441 19325489 33565323 57976467 100695969 173929401 212580379 226820213 637741137 680460639 1913223411 2041381917 2495022343 4309584047 7485067029 12928752141 22455201087 38786256423 47405424517 142216273551 426648820653