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641415514146 = 231171136879111
BaseRepresentation
bin10010101010101110101…
…10000000100000100010
32021022121100110011100120
421111113112000200202
541002104332423041
61210355012301110
764224605625141
oct11252726004042
92238540404316
10641415514146
11228028377340
12a4388911796
1348640060bb4
142308a841758
1511a40c61366
hex9557580822

641415514146 has 32 divisors (see below), whose sum is σ = 1419162633216. Its totient is φ = 191630754000.

The previous prime is 641415514133. The next prime is 641415514183.

It is a happy number.

641415514146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6414155141462 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 641415514098 and 641415514107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68434870 + ... + 68444241.

It is an arithmetic number, because the mean of its divisors is an integer number (44348832288).

Almost surely, 2641415514146 is an apocalyptic number.

641415514146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

641415514146 is an abundant number, since it is smaller than the sum of its proper divisors (777747119070).

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

641415514146 is a wasteful number, since it uses less digits than its factorization.

641415514146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136879198.

The product of its digits is 230400, while the sum is 42.

The spelling of 641415514146 in words is "six hundred forty-one billion, four hundred fifteen million, five hundred fourteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 4686 136879111 273758222 410637333 821274666 1505670221 3011340442 4517010663 9034021326 9718416881 19436833762 29155250643 58310501286 106902585691 213805171382 320707757073 641415514146