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19683504064 = 267311417303
BaseRepresentation
bin10010010101001110…
…100110111111000000
31212210202222121110001
4102111032212333000
5310302434112224
613013101445344
71264530011140
oct222516467700
955722877401
1019683504064
118390908a34
123993b70854
131b18c52633
14d4a25a920
157a309e544
hex4953a6fc0

19683504064 has 56 divisors (see below), whose sum is σ = 46079387648. Its totient is φ = 8163659520.

The previous prime is 19683504059. The next prime is 19683504091. The reversal of 19683504064 is 46040538691.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 694764 + ... + 722539.

It is an arithmetic number, because the mean of its divisors is an integer number (822846208).

Almost surely, 219683504064 is an apocalyptic number.

19683504064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19683504064 is an abundant number, since it is smaller than the sum of its proper divisors (26395883584).

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

19683504064 is a wasteful number, since it uses less digits than its factorization.

19683504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417353 (or 1417343 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 19683504064 in words is "nineteen billion, six hundred eighty-three million, five hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 1417303 2834606 5669212 9921121 11338424 19842242 22676848 39684484 43936393 45353696 79368968 87872786 90707392 158737936 175745572 307554751 317475872 351491144 615109502 634951744 702982288 1230219004 1405964576 2460438008 2811929152 4920876016 9841752032 19683504064