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494441127936 = 213357237137
BaseRepresentation
bin1110011000111101111…
…11001110000000000000
31202021020110012202100000
413030132333032000000
531100103412043221
61015050525200000
750502466146300
oct7143677160000
91667213182300
10494441127936
11180767143658
127b9ab400000
1337819593672
1419d06c43600
15ccdcad4e26
hex731efce000

494441127936 has 1008 divisors, whose sum is σ = 1782511554096. Its totient is φ = 136447524864.

The previous prime is 494441127923. The next prime is 494441127977. The reversal of 494441127936 is 639721144494.

It is a happy number.

494441127936 is a `hidden beast` number, since 4 + 94 + 441 + 1 + 27 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3609059260 + ... + 3609059396.

It is an arithmetic number, because the mean of its divisors is an integer number (1768364637).

Almost surely, 2494441127936 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 494441127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891255777048).

494441127936 is an abundant number, since it is smaller than the sum of its proper divisors (1288070426160).

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

494441127936 is an equidigital number, since it uses as much as digits as its factorization.

494441127936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 494441127936 in words is "four hundred ninety-four billion, four hundred forty-one million, one hundred twenty-seven thousand, nine hundred thirty-six".