Search a number
-
+
491767051884240 = 2435112192341945143
BaseRepresentation
bin110111111010000100111000…
…0011100001001011011010000
32101111012110201101012212011010
41233310021300130021123100
51003424102410240243430
64501522355335050520
7205403665660552656
oct15764116034113320
92344173641185133
10491767051884240
111327682654a2400
12471a38ba810a40
131815258469bca2
14896191bd12dd6
153bcbec9b93cb0
hex1bf42707096d0

491767051884240 has 960 divisors, whose sum is σ = 1885441604014080. Its totient is φ = 105396186931200.

The previous prime is 491767051884203. The next prime is 491767051884349. The reversal of 491767051884240 is 42488150767194.

It is a super-2 number, since 2×4917670518842402 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 519837109 + ... + 520782251.

It is an arithmetic number, because the mean of its divisors is an integer number (1964001670848).

Almost surely, 2491767051884240 is an apocalyptic number.

491767051884240 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 491767051884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942720802007040).

491767051884240 is an abundant number, since it is smaller than the sum of its proper divisors (1393674552129840).

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

491767051884240 is a wasteful number, since it uses less digits than its factorization.

491767051884240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945264 (or 945247 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 491767051884240 in words is "four hundred ninety-one trillion, seven hundred sixty-seven billion, fifty-one million, eight hundred eighty-four thousand, two hundred forty".