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484992019435392 = 2733733173973251
BaseRepresentation
bin110111001000110010000000…
…1000010011000111110000000
32100121012210011201101120122000
41232101210001002120332000
51002032102123433413032
64435254131412544000
7204104342235123000
oct15621440102307600
92317183151346560
10484992019435392
11130595a62289a57
124648a852022000
1317a80721c77541
1487a9a4bada000
153b10b4e82be7c
hex1b91901098f80

484992019435392 has 1024 divisors, whose sum is σ = 1679271402240000. Its totient is φ = 137741700096000.

The previous prime is 484992019435373. The next prime is 484992019435403. The reversal of 484992019435392 is 293534910299484.

484992019435392 is a `hidden beast` number, since 4 + 8 + 4 + 9 + 92 + 0 + 19 + 435 + 3 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 484992019435392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149182409767 + ... + 149182413017.

It is an arithmetic number, because the mean of its divisors is an integer number (1639913478750).

Almost surely, 2484992019435392 is an apocalyptic number.

484992019435392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484992019435392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839635701120000).

484992019435392 is an abundant number, since it is smaller than the sum of its proper divisors (1194279382804608).

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

484992019435392 is a wasteful number, since it uses less digits than its factorization.

484992019435392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 484992019435392 in words is "four hundred eighty-four trillion, nine hundred ninety-two billion, nineteen million, four hundred thirty-five thousand, three hundred ninety-two".