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483931988640 = 25325336063881
BaseRepresentation
bin1110000101011001001…
…10000010001010100000
31201021010001102011101200
413002230212002022200
530412043042114030
61010152034001200
746651200014232
oct7025446021240
91637101364350
10483931988640
11177263a9a771
1279957a16200
1336833271249
14195cb22a252
15c8c51a5d60
hex70ac9822a0

483931988640 has 72 divisors (see below), whose sum is σ = 1651417916148. Its totient is φ = 129048529920.

The previous prime is 483931988623. The next prime is 483931988647. The reversal of 483931988640 is 46889139384.

483931988640 is a `hidden beast` number, since 48 + 393 + 1 + 98 + 86 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483130645776 + 801342864 = 695076^2 + 28308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (483931988647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168030501 + ... + 168033380.

Almost surely, 2483931988640 is an apocalyptic number.

483931988640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

483931988640 is an abundant number, since it is smaller than the sum of its proper divisors (1167485927508).

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

483931988640 is a wasteful number, since it uses less digits than its factorization.

483931988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336063902 (or 336063891 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 483931988640 in words is "four hundred eighty-three billion, nine hundred thirty-one million, nine hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 336063881 672127762 1008191643 1344255524 1680319405 2016383286 2688511048 3024574929 3360638810 4032766572 5040958215 5377022096 6049149858 6721277620 8065533144 10081916430 10754044192 12098299716 13442555240 15122874645 16131066288 20163832860 24196599432 26885110480 30245749290 32262132576 40327665720 48393198864 53770220960 60491498580 80655331440 96786397728 120982997160 161310662880 241965994320 483931988640