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264131466310131 = 3761541738063803
BaseRepresentation
bin111100000011100111100110…
…001110010011000111110011
31021122012201111000202210110020
4330003213212032103013303
5234110012220333411011
62333432153121134523
7106430603651544360
oct7403474616230763
91248181430683406
10264131466310131
1177184586925702
122575a54578a443
13b44c64b535244
1449320617b9467
1520809eb553006
hexf039e63931f3

264131466310131 has 32 divisors (see below), whose sum is σ = 409159705102848. Its totient is φ = 148430557175040.

The previous prime is 264131466310099. The next prime is 264131466310211. The reversal of 264131466310131 is 131013664131462.

It is a happy number.

It is not a de Polignac number, because 264131466310131 - 25 = 264131466310099 is a prime.

It is a super-2 number, since 2×2641314663101312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264131466318131) 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, 12092725 + ... + 25971078.

It is an arithmetic number, because the mean of its divisors is an integer number (12786240784464).

Almost surely, 2264131466310131 is an apocalyptic number.

264131466310131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

264131466310131 is a deficient number, since it is larger than the sum of its proper divisors (145028238792717).

264131466310131 is a wasteful number, since it uses less digits than its factorization.

264131466310131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38069291.

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 264131466310131 in words is "two hundred sixty-four trillion, one hundred thirty-one billion, four hundred sixty-six million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 7 21 61 183 427 1281 5417 16251 37919 113757 330437 991311 2313059 6939177 38063803 114191409 266446621 799339863 2321891983 6965675949 16253243881 48759731643 206191620851 618574862553 1443341345957 4330024037871 12577688871911 37733066615733 88043822103377 264131466310131