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498725631360 = 273451119191241
BaseRepresentation
bin1110100000111100101…
…11010011010110000000
31202200022001021002010000
413100132113103112000
531132342230200420
61021040021040000
751013612631025
oct7203627232600
91680261232100
10498725631360
11182565687480
12807a6256000
13380501184a8
141a1d1c9554c
15ce8dd07690
hex741e5d3580

498725631360 has 1280 divisors, whose sum is σ = 2064451276800. Its totient is φ = 113467392000.

The previous prime is 498725631343. The next prime is 498725631361. The reversal of 498725631360 is 63136527894.

498725631360 is a `hidden beast` number, since 4 + 9 + 8 + 7 + 2 + 563 + 13 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 498725631297 and 498725631306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498725631361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2069400840 + ... + 2069401080.

It is an arithmetic number, because the mean of its divisors is an integer number (1612852560).

It is a 1-persistent number, because it is pandigital, but 2⋅498725631360 = 997451262720 is not.

Almost surely, 2498725631360 is an apocalyptic number.

498725631360 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 498725631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032225638400).

498725631360 is an abundant number, since it is smaller than the sum of its proper divisors (1565725645440).

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

498725631360 is a wasteful number, since it uses less digits than its factorization.

498725631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 498725631360 in words is "four hundred ninety-eight billion, seven hundred twenty-five million, six hundred thirty-one thousand, three hundred sixty".