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427308578640 = 243251374332001
BaseRepresentation
bin1100011011111011001…
…00110111011101010000
31111211221212110220100100
412031331210313131100
524000111444004030
6524145225452400
742605050663236
oct6157544673520
91454855426310
10427308578640
11155247609759
126a994941100
13313ab231608
1416978dac956
15b1ae0d4360
hex637d937750

427308578640 has 120 divisors (see below), whose sum is σ = 1445519755368. Its totient is φ = 113117184000.

The previous prime is 427308578639. The next prime is 427308578651. The reversal of 427308578640 is 46875803724.

427308578640 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 0 + 8 + 578 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36928540224 + 390380038416 = 192168^2 + 624804^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067361 + ... + 2264640.

Almost surely, 2427308578640 is an apocalyptic number.

427308578640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427308578640 is an abundant number, since it is smaller than the sum of its proper divisors (1018211176728).

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

427308578640 is a wasteful number, since it uses less digits than its factorization.

427308578640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332157 (or 4332148 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 427308578640 in words is "four hundred twenty-seven billion, three hundred eight million, five hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 137 144 180 240 274 360 411 548 685 720 822 1096 1233 1370 1644 2055 2192 2466 2740 3288 4110 4932 5480 6165 6576 8220 9864 10960 12330 16440 19728 24660 32880 49320 98640 4332001 8664002 12996003 17328004 21660005 25992006 34656008 38988009 43320010 51984012 64980015 69312016 77976018 86640020 103968024 129960030 155952036 173280040 194940045 207936048 259920060 311904072 346560080 389880090 519840120 593484137 623808144 779760180 1039680240 1186968274 1559520360 1780452411 2373936548 2967420685 3119040720 3560904822 4747873096 5341357233 5934841370 7121809644 8902262055 9495746192 10682714466 11869682740 14243619288 17804524110 21365428932 23739365480 26706786165 28487238576 35609048220 42730857864 47478730960 53413572330 71218096440 85461715728 106827144660 142436192880 213654289320 427308578640