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480461630000 = 2454114367833
BaseRepresentation
bin1101111110111011011…
…11101010101000110000
31200221011012022200022012
412333131233222220300
530332441134130000
61004415424102052
746466200320452
oct6773557525060
91627135280265
10480461630000
11175843078980
1279149764928
13363cc2b25b1
141937c3862d2
15c7706a1735
hex6fddbeaa30

480461630000 has 100 divisors (see below), whose sum is σ = 1268995547688. Its totient is φ = 174713280000.

The previous prime is 480461629891. The next prime is 480461630023. The reversal of 480461630000 is 36164084.

It is a tau number, because it is divible by the number of its divisors (100).

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, 2073917 + ... + 2293916.

Almost surely, 2480461630000 is an apocalyptic number.

480461630000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480461630000 is an abundant number, since it is smaller than the sum of its proper divisors (788533917688).

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

480461630000 is a wasteful number, since it uses less digits than its factorization.

480461630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367872 (or 4367851 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 480461630000 its reverse (36164084), we get a palindrome (480497794084).

The spelling of 480461630000 in words is "four hundred eighty billion, four hundred sixty-one million, six hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 4367833 8735666 17471332 21839165 34942664 43678330 48046163 69885328 87356660 96092326 109195825 174713320 192184652 218391650 240230815 349426640 384369304 436783300 480461630 545979125 768738608 873566600 960923260 1091958250 1201154075 1747133200 1921846520 2183916500 2402308150 2729895625 3843693040 4367833000 4804616300 5459791250 6005770375 8735666000 9609232600 10919582500 12011540750 19218465200 21839165000 24023081500 30028851875 43678330000 48046163000 60057703750 96092326000 120115407500 240230815000 480461630000