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480407280000 = 273542001697
BaseRepresentation
bin1101111110110101000…
…00010101100110000000
31200221000102001102010020
412333122200111212000
530332333230430000
61004410203133440
746464640334604
oct6773240254600
91627012042106
10480407280000
11175815426a1a
1279133514280
13363c0c6322b
1419375079504
15c76aa17ba0
hex6fda815980

480407280000 has 160 divisors (see below), whose sum is σ = 1594592660760. Its totient is φ = 128108544000.

The previous prime is 480407279999. The next prime is 480407280083. The reversal of 480407280000 is 82704084.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 760849 + ... + 1240848.

Almost surely, 2480407280000 is an apocalyptic number.

480407280000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480407280000 is an abundant number, since it is smaller than the sum of its proper divisors (1114185380760).

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

480407280000 is an equidigital number, since it uses as much as digits as its factorization.

480407280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001734 (or 2001707 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

Adding to 480407280000 its reverse (82704084), we get a palindrome (480489984084).

The spelling of 480407280000 in words is "four hundred eighty billion, four hundred seven million, two hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 2001697 4003394 6005091 8006788 10008485 12010182 16013576 20016970 24020364 30025455 32027152 40033940 48040728 50042425 60050910 64054304 80067880 96081456 100084850 120101820 128108608 150127275 160135760 192162912 200169700 240203640 250212125 256217216 300254550 320271520 384325824 400339400 480407280 500424250 600509100 640543040 750636375 768651648 800678800 960814560 1000848500 1201018200 1251060625 1281086080 1501272750 1601357600 1921629120 2001697000 2402036400 2502121250 3002545500 3202715200 3753181875 3843258240 4003394000 4804072800 5004242500 6005091000 6405430400 7506363750 8006788000 9608145600 10008485000 12010182000 15012727500 16013576000 19216291200 20016970000 24020364000 30025455000 32027152000 40033940000 48040728000 60050910000 80067880000 96081456000 120101820000 160135760000 240203640000 480407280000