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499204311408 = 243211837195281
BaseRepresentation
bin1110100001110101110…
…01010100100101110000
31202201112101222112200200
413100322321110211300
531134332300431113
61021155320515200
751031514430465
oct7207271244560
91681471875620
10499204311408
11182790901920
12808ba61bb00
13380c834741a
141a23969b66c
15cebad5d873
hex743ae54970

499204311408 has 240 divisors, whose sum is σ = 1544886120960. Its totient is φ = 149215334400.

The previous prime is 499204311379. The next prime is 499204311553. The reversal of 499204311408 is 804113402994.

499204311408 is a `hidden beast` number, since 4 + 9 + 9 + 204 + 31 + 1 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94525728 + ... + 94531008.

It is an arithmetic number, because the mean of its divisors is an integer number (6437025504).

Almost surely, 2499204311408 is an apocalyptic number.

499204311408 is a gapful number since it is divisible by the number (48) 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 499204311408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772443060480).

499204311408 is an abundant number, since it is smaller than the sum of its proper divisors (1045681809552).

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

499204311408 is a wasteful number, since it uses less digits than its factorization.

499204311408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 499204311408 in words is "four hundred ninety-nine billion, two hundred four million, three hundred eleven thousand, four hundred eight".