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130676567064 = 23319709404191
BaseRepresentation
bin111100110110011101…
…1100010110000011000
3110111022002000102011020
41321230323202300120
54120111200121224
6140010524202440
712304200331041
oct1715473426030
9414262012136
10130676567064
1150468573a6a
12213ab399420
13c4270cb084
1464792a38c8
1535ec457c79
hex1e6cee2c18

130676567064 has 64 divisors (see below), whose sum is σ = 344371584000. Its totient is φ = 41207978880.

The previous prime is 130676567057. The next prime is 130676567101. The reversal of 130676567064 is 460765676031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130676566998 and 130676567016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121209 + ... + 525399.

It is an arithmetic number, because the mean of its divisors is an integer number (5380806000).

Almost surely, 2130676567064 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 130676567064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172185792000).

130676567064 is an abundant number, since it is smaller than the sum of its proper divisors (213695016936).

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

130676567064 is a wasteful number, since it uses less digits than its factorization.

130676567064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404928 (or 404924 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 130676567064 in words is "one hundred thirty billion, six hundred seventy-six million, five hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 709 1418 2127 2836 4254 5672 8508 13471 17016 26942 40413 53884 80826 107768 161652 323304 404191 808382 1212573 1616764 2425146 3233528 4850292 7679629 9700584 15359258 23038887 30718516 46077774 61437032 92155548 184311096 286571419 573142838 859714257 1146285676 1719428514 2292571352 3438857028 5444856961 6877714056 10889713922 16334570883 21779427844 32669141766 43558855688 65338283532 130676567064