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130368318864 = 24372115148157
BaseRepresentation
bin111100101101010001…
…1101010110110010000
3110110111120222210010020
41321122203222312100
54113443242200424
6135520153303440
712263435266200
oct1713243526620
9413446883106
10130368318864
115031a576593
1221324104b80
13c3a82a2ba4
14644a384400
1535d036a079
hex1e5a8ead90

130368318864 has 120 divisors (see below), whose sum is σ = 392118617088. Its totient is φ = 37214956800.

The previous prime is 130368318833. The next prime is 130368318877. The reversal of 130368318864 is 468813863031.

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 23 ways as a sum of consecutive naturals, for example, 2683074 + ... + 2731230.

Almost surely, 2130368318864 is an apocalyptic number.

130368318864 is a gapful number since it is divisible by the number (14) 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 130368318864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196059308544).

130368318864 is an abundant number, since it is smaller than the sum of its proper divisors (261750298224).

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

130368318864 is a wasteful number, since it uses less digits than its factorization.

130368318864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49333 (or 49320 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 130368318864 in words is "one hundred thirty billion, three hundred sixty-eight million, three hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1151 1176 2302 2352 3453 4604 6906 8057 9208 13812 16114 18416 24171 27624 32228 48157 48342 55248 56399 64456 96314 96684 112798 128912 144471 169197 192628 193368 225596 288942 337099 338394 385256 386736 451192 577884 674198 676788 770512 902384 1011297 1155768 1348396 1353576 2022594 2311536 2359693 2696792 2707152 4045188 4719386 5393584 7079079 8090376 9438772 14158158 16180752 18877544 28316316 37755088 55428707 56632632 110857414 113265264 166286121 221714828 332572242 388000949 443429656 665144484 776001898 886859312 1164002847 1330288968 1552003796 2328005694 2660577936 2716006643 3104007592 4656011388 5432013286 6208015184 8148019929 9312022776 10864026572 16296039858 18624045552 21728053144 32592079716 43456106288 65184159432 130368318864