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490308118272 = 28337217314167
BaseRepresentation
bin1110010001010001010…
…01000010011100000000
31201212120102020002221000
413020220221002130000
531013122334241042
61013124444332000
750265202145400
oct7105051023400
91655512202830
10490308118272
11179a36172295
127b037244000
133730b24160b
1419a33d88800
15cb49d3974c
hex7228a42700

490308118272 has 1728 divisors, whose sum is σ = 1916621844480. Its totient is φ = 122624409600.

The previous prime is 490308118219. The next prime is 490308118273. The reversal of 490308118272 is 272811803094.

It is a happy number.

490308118272 is a `hidden beast` number, since 490 + 3 + 0 + 8 + 11 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×4903081182723 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490308118273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7318031583 + ... + 7318031649.

It is an arithmetic number, because the mean of its divisors is an integer number (1109156160).

Almost surely, 2490308118272 is an apocalyptic number.

490308118272 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 490308118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958310922240).

490308118272 is an abundant number, since it is smaller than the sum of its proper divisors (1426313726208).

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

490308118272 is a wasteful number, since it uses less digits than its factorization.

490308118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 490308118272 in words is "four hundred ninety billion, three hundred eight million, one hundred eighteen thousand, two hundred seventy-two".