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492382149084 = 223572953197239
BaseRepresentation
bin1110010101001000100…
…00110101100111011100
31202001220221212210100000
413022210100311213130
531031344312232314
61014110334134300
750400455132430
oct7124420654734
91661827783300
10492382149084
1117a8aa983341
127b515951390
133757bb39097
1419b8d5d49c0
15cc1be72209
hex72a44359dc

492382149084 has 576 divisors, whose sum is σ = 1569209241600. Its totient is φ = 132035484672.

The previous prime is 492382149043. The next prime is 492382149097. The reversal of 492382149084 is 480941283294.

It is a happy number.

492382149084 is a `hidden beast` number, since 4 + 92 + 382 + 14 + 90 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 492382149084.

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 191 ways as a sum of consecutive naturals, for example, 2060176237 + ... + 2060176475.

It is an arithmetic number, because the mean of its divisors is an integer number (2724321600).

Almost surely, 2492382149084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492382149084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784604620800).

492382149084 is an abundant number, since it is smaller than the sum of its proper divisors (1076827092516).

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

492382149084 is a wasteful number, since it uses less digits than its factorization.

492382149084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 492382149084 in words is "four hundred ninety-two billion, three hundred eighty-two million, one hundred forty-nine thousand, eighty-four".