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20194471296 = 273226965167
BaseRepresentation
bin10010110011101011…
…110010110110000000
31221010101110102201100
4102303223302312000
5312324241040141
613135513334400
71313303113416
oct226353626600
957111412640
1020194471296
1186232861aa
123ab7107400
131b9aa775cc
14d980692b6
157d2d820b6
hex4b3af2d80

20194471296 has 96 divisors (see below), whose sum is σ = 58328618400. Its totient is φ = 6706363392.

The previous prime is 20194471259. The next prime is 20194471303. The reversal of 20194471296 is 69217449102.

20194471296 is a `hidden beast` number, since 2 + 0 + 1 + 94 + 471 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 277305 + ... + 342471.

It is an arithmetic number, because the mean of its divisors is an integer number (607589775).

Almost surely, 220194471296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20194471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164309200).

20194471296 is an abundant number, since it is smaller than the sum of its proper divisors (38134147104).

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

20194471296 is a wasteful number, since it uses less digits than its factorization.

20194471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65456 (or 65441 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 20194471296 in words is "twenty billion, one hundred ninety-four million, four hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 269 288 384 538 576 807 1076 1152 1614 2152 2421 3228 4304 4842 6456 8608 9684 12912 17216 19368 25824 34432 38736 51648 65167 77472 103296 130334 154944 195501 260668 309888 391002 521336 586503 782004 1042672 1173006 1564008 2085344 2346012 3128016 4170688 4692024 6256032 8341376 9384048 12512064 17529923 18768096 25024128 35059846 37536192 52589769 70119692 75072384 105179538 140239384 157769307 210359076 280478768 315538614 420718152 560957536 631077228 841436304 1121915072 1262154456 1682872608 2243830144 2524308912 3365745216 5048617824 6731490432 10097235648 20194471296