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285955742441 = 23591374193671
BaseRepresentation
bin1000010100101000100…
…10100101101011101001
31000100002202011211012202
410022110102211223221
514141114132224231
6335211035545545
726442151464125
oct4122422455351
91010082154182
10285955742441
1110030061a776
1247505bbb2b5
1320c722c5335
14dba9c28585
1576897375cb
hex42944a5ae9

285955742441 has 32 divisors (see below), whose sum is σ = 306473932800. Its totient is φ = 266214636160.

The previous prime is 285955742399. The next prime is 285955742507. The reversal of 285955742441 is 144247559582.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 285955742441 - 234 = 268775873257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (285955742141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77894036 + ... + 77897706.

It is an arithmetic number, because the mean of its divisors is an integer number (9577310400).

Almost surely, 2285955742441 is an apocalyptic number.

It is an amenable number.

285955742441 is a deficient number, since it is larger than the sum of its proper divisors (20518190359).

285955742441 is a wasteful number, since it uses less digits than its factorization.

285955742441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309.

The product of its digits is 16128000, while the sum is 56.

The spelling of 285955742441 in words is "two hundred eighty-five billion, nine hundred fifty-five million, seven hundred forty-two thousand, four hundred forty-one".

Divisors: 1 23 59 137 419 1357 3151 3671 8083 9637 24721 57403 84433 185909 216589 502927 568583 1320269 1538149 3386777 4981547 11567321 29672693 35377427 77895871 90750791 210726413 682471939 2087268193 4846707499 12432858367 285955742441