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67642490881 = 71936772081
BaseRepresentation
bin111110111111110011…
…101000000000000001
320110121010021120100001
4332333303220000001
52102012434202011
651024033200001
74613146454140
oct767763500001
9213533246301
1067642490881
1126761471629
1211139400001
1364bcbb8244
1433b9897757
151b5d67e7c1
hexfbfce8001

67642490881 has 32 divisors (see below), whose sum is σ = 81759640320. Its totient is φ = 54820247040.

The previous prime is 67642490837. The next prime is 67642490893. The reversal of 67642490881 is 18809424676.

It is a happy number.

67642490881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67642490881 - 27 = 67642490753 is a prime.

It is a super-2 number, since 2×676424908812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67642410881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32503761 + ... + 32505841.

It is an arithmetic number, because the mean of its divisors is an integer number (2554988760).

Almost surely, 267642490881 is an apocalyptic number.

It is an amenable number.

67642490881 is a deficient number, since it is larger than the sum of its proper divisors (14117149439).

67642490881 is an equidigital number, since it uses as much as digits as its factorization.

67642490881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 67642490881 in words is "sixty-seven billion, six hundred forty-two million, four hundred ninety thousand, eight hundred eighty-one".

Divisors: 1 7 19 133 361 677 2081 2527 4739 6859 12863 14567 39539 48013 90041 244397 276773 751241 1408837 1710779 4643543 5258687 9861859 14273579 26767903 32504801 99915053 187375321 508590157 3560131099 9663212983 67642490881