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498915426240 = 263357113971889
BaseRepresentation
bin1110100001010011010…
…11010011111111000000
31202200210021101122202000
413100221223103333000
531133234322114430
61021110521024000
751021406102620
oct7205153237700
91680707348660
10498915426240
1118265282a150
1280839925000
133808053b75a
141a20d17c880
15cea07e7e60
hex7429ad3fc0

498915426240 has 896 divisors, whose sum is σ = 2201055897600. Its totient is φ = 103354859520.

The previous prime is 498915426209. The next prime is 498915426241. The reversal of 498915426240 is 42624519894.

498915426240 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 1 + 5 + 4 + 2 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498915426241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264115216 + ... + 264117104.

It is an arithmetic number, because the mean of its divisors is an integer number (2456535600).

Almost surely, 2498915426240 is an apocalyptic number.

498915426240 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 498915426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100527948800).

498915426240 is an abundant number, since it is smaller than the sum of its proper divisors (1702140471360).

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

498915426240 is a wasteful number, since it uses less digits than its factorization.

498915426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 498915426240 in words is "four hundred ninety-eight billion, nine hundred fifteen million, four hundred twenty-six thousand, two hundred forty".