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484340764916736 = 2103472131929127131
BaseRepresentation
bin110111000100000010101111…
…1001111100011110000000000
32100111220112011200010012110000
41232020011133033203300000
51001440414341304313421
64434035024204240000
7204006315445056300
oct15610053717436000
92314815150105400
10484340764916736
1113036484606aa32
12463a459a240000
1317a341a46a7ab0
14878630a683600
153aedc34e10226
hex1b8815f3e3c00

484340764916736 has 5280 divisors, whose sum is σ = 2003739481497600. Its totient is φ = 115037302947840.

The previous prime is 484340764916669. The next prime is 484340764916779. The reversal of 484340764916736 is 637619467043484.

484340764916736 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 4 + 0 + 76 + 491 + 67 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3697257747391 + ... + 3697257747521.

It is an arithmetic number, because the mean of its divisors is an integer number (379496113920).

Almost surely, 2484340764916736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484340764916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001869740748800).

484340764916736 is an abundant number, since it is smaller than the sum of its proper divisors (1519398716580864).

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

484340764916736 is a wasteful number, since it uses less digits than its factorization.

484340764916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 72.

The spelling of 484340764916736 in words is "four hundred eighty-four trillion, three hundred forty billion, seven hundred sixty-four million, nine hundred sixteen thousand, seven hundred thirty-six".