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468480417363 = 33741591024693
BaseRepresentation
bin1101101000100111001…
…10111101111001010011
31122210020012120000101000
412310103212331321103
530133421441323423
6555114505113043
745563244562410
oct6642346757123
91583205500330
10468480417363
11170754a89552
1276965188783
133523ccc826a
1418963059107
15c2bd8e2843
hex6d139bde53

468480417363 has 64 divisors (see below), whose sum is σ = 826313241600. Its totient is φ = 256746827520.

The previous prime is 468480417341. The next prime is 468480417367. The reversal of 468480417363 is 363714084864.

468480417363 is a `hidden beast` number, since 4 + 68 + 480 + 41 + 7 + 3 + 63 = 666.

It is not a de Polignac number, because 468480417363 - 220 = 468479368787 is a prime.

It is a super-2 number, since 2×4684804173632 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (468480417367) 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 63 ways as a sum of consecutive naturals, for example, 55156 + ... + 969537.

It is an arithmetic number, because the mean of its divisors is an integer number (12911144400).

Almost surely, 2468480417363 is an apocalyptic number.

468480417363 is a deficient number, since it is larger than the sum of its proper divisors (357832824237).

468480417363 is a wasteful number, since it uses less digits than its factorization.

468480417363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024809 (or 1024803 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 468480417363 in words is "four hundred sixty-eight billion, four hundred eighty million, four hundred seventeen thousand, three hundred sixty-three".

Divisors: 1 3 7 9 21 27 41 59 63 123 177 189 287 369 413 531 861 1107 1239 1593 2419 2583 3717 7257 7749 11151 16933 21771 50799 65313 152397 457191 1024693 3074079 7172851 9222237 21518553 27666711 42012413 60456887 64555659 126037239 181370661 193666977 294086891 378111717 423198209 544111983 882260673 1134335151 1269594627 1632335949 2478732367 2646782019 3808783881 7436197101 7940346057 11426351643 17351126569 22308591303 52053379707 66925773909 156160139121 468480417363