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480488088040 = 235291912168659
BaseRepresentation
bin1101111110111110101…
…00100110000111101000
31200221020001002212220121
412333133110212013220
530333014422304130
61004422211133024
746466641234552
oct6773724460750
91627201085817
10480488088040
11175856aaa224
12791565a4174
133640491733c
1419381ab24d2
15c772b7ad7a
hex6fdf5261e8

480488088040 has 64 divisors (see below), whose sum is σ = 1124233344000. Its totient is φ = 184596168960.

The previous prime is 480488088013. The next prime is 480488088049. The reversal of 480488088040 is 40880884084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (480488088049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862770 + ... + 1305889.

It is an arithmetic number, because the mean of its divisors is an integer number (17566146000).

Almost surely, 2480488088040 is an apocalyptic number.

480488088040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480488088040 is an abundant number, since it is smaller than the sum of its proper divisors (643745255960).

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

480488088040 is a wasteful number, since it uses less digits than its factorization.

480488088040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168890 (or 2168886 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 480488088040 in words is "four hundred eighty billion, four hundred eighty-eight million, eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 191 232 290 382 580 764 955 1160 1528 1910 3820 5539 7640 11078 22156 27695 44312 55390 110780 221560 2168659 4337318 8674636 10843295 17349272 21686590 43373180 62891111 86746360 125782222 251564444 314455555 414213869 503128888 628911110 828427738 1257822220 1656855476 2071069345 2515644440 3313710952 4142138690 8284277380 12012202201 16568554760 24024404402 48048808804 60061011005 96097617608 120122022010 240244044020 480488088040