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4284075523904 = 261116141377011
BaseRepresentation
bin111110010101110110110…
…011001011111101000000
3120011112221120220112012022
4332111312303023331000
51030142241313231104
613040024354221012
7621341246056451
oct76256663137500
916145846815168
104284075523904
111401958a47320
12592348284768
13250ca96c5007
1410b4c956d128
157668a5e0bbe
hex3e576ccbf40

4284075523904 has 56 divisors (see below), whose sum is σ = 9274649020896. Its totient is φ = 1947181248000.

The previous prime is 4284075523901. The next prime is 4284075523909. The reversal of 4284075523904 is 4093255704824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284075523901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11174759 + ... + 11551769.

It is an arithmetic number, because the mean of its divisors is an integer number (165618732516).

Almost surely, 24284075523904 is an apocalyptic number.

4284075523904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4284075523904 is an abundant number, since it is smaller than the sum of its proper divisors (4990573496992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4284075523904 is a wasteful number, since it uses less digits than its factorization.

4284075523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393175 (or 393165 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 4284075523904 in words is "four trillion, two hundred eighty-four billion, seventy-five million, five hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 16141 32282 64564 129128 177551 258256 355102 377011 516512 710204 754022 1033024 1420408 1508044 2840816 3016088 4147121 5681632 6032176 8294242 11363264 12064352 16588484 24128704 33176968 66353936 132707872 265415744 6085334551 12170669102 24341338204 48682676408 66938680061 97365352816 133877360122 194730705632 267754720244 389461411264 535509440488 1071018880976 2142037761952 4284075523904