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490399260488280 = 23345111321719833037
BaseRepresentation
bin110111110000000111111100…
…1101110000011001001011000
32101022100201012122101200020000
41233200033321232003021120
51003234200141141111110
64454554150554333000
7205203114556534413
oct15740177156031130
92338321178350200
10490399260488280
11132290181955040
12470027b412a160
13180835b48b1c00
1489156451ccb7a
153ba66244c91c0
hex1be03f9b83258

490399260488280 has 3840 divisors, whose sum is σ = 2196998558092800. Its totient is φ = 96637669539840.

The previous prime is 490399260488243. The next prime is 490399260488377. The reversal of 490399260488280 is 82884062993094.

490399260488280 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 9 + 9 + 2 + 60 + 488 + 2 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 490399260488199 and 490399260488208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 161474894922 + ... + 161474897958.

It is an arithmetic number, because the mean of its divisors is an integer number (572135041170).

Almost surely, 2490399260488280 is an apocalyptic number.

490399260488280 is a gapful number since it is divisible by the number (40) 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 490399260488280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098499279046400).

490399260488280 is an abundant number, since it is smaller than the sum of its proper divisors (1706599297604520).

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

490399260488280 is a wasteful number, since it uses less digits than its factorization.

490399260488280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 490399260488280 in words is "four hundred ninety trillion, three hundred ninety-nine billion, two hundred sixty million, four hundred eighty-eight thousand, two hundred eighty".