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642538454305 = 511172329878561
BaseRepresentation
bin10010101100110100100…
…01101011110100100001
32021102111121110102122211
421112122101223310201
541011404321014210
61211102245002121
764264462514146
oct11263221536441
92242447412584
10642538454305
1122855422a960
12a46409b3341
134878b8b4327
1423155a323cd
1511aa962938a
hex959a46bd21

642538454305 has 32 divisors (see below), whose sum is σ = 929342792448. Its totient is φ = 420690124800.

The previous prime is 642538454219. The next prime is 642538454309. The reversal of 642538454305 is 503454835246.

It is not a de Polignac number, because 642538454305 - 219 = 642537930017 is a prime.

It is a super-3 number, since 3×6425384543053 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (642538454309) 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 31 ways as a sum of consecutive naturals, for example, 14917776 + ... + 14960785.

It is an arithmetic number, because the mean of its divisors is an integer number (29041962264).

Almost surely, 2642538454305 is an apocalyptic number.

It is an amenable number.

642538454305 is a deficient number, since it is larger than the sum of its proper divisors (286804338143).

642538454305 is a wasteful number, since it uses less digits than its factorization.

642538454305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29878617.

The product of its (nonzero) digits is 6912000, while the sum is 49.

The spelling of 642538454305 in words is "six hundred forty-two billion, five hundred thirty-eight million, four hundred fifty-four thousand, three hundred five".

Divisors: 1 5 11 17 23 55 85 115 187 253 391 935 1265 1955 4301 21505 29878561 149392805 328664171 507935537 687206903 1643320855 2539677685 3436034515 5587290907 7559275933 11682517351 27936454535 37796379665 58412586755 128507690861 642538454305