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131725260678 = 23113103160141
BaseRepresentation
bin111101010101101101…
…1111111011110000110
3110121000011022120100110
41322223123333132012
54124233131320203
6140302545253450
712342163145604
oct1725333773606
9417004276313
10131725260678
1150956526000
1221642634286
13c563456b3b
146538688874
15365e556d03
hex1eab6ff786

131725260678 has 64 divisors (see below), whose sum is σ = 292590964224. Its totient is φ = 39528957600.

The previous prime is 131725260659. The next prime is 131725260703. The reversal of 131725260678 is 876062527131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742488 + ... + 902628.

It is an arithmetic number, because the mean of its divisors is an integer number (4571733816).

Almost surely, 2131725260678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131725260678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146295482112).

131725260678 is an abundant number, since it is smaller than the sum of its proper divisors (160865703546).

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

131725260678 is a wasteful number, since it uses less digits than its factorization.

131725260678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160282 (or 160260 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 131725260678 in words is "one hundred thirty-one billion, seven hundred twenty-five million, two hundred sixty thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 1133 1331 2266 2662 3399 3993 6798 7986 12463 24926 37389 74778 137093 160141 274186 320282 411279 480423 822558 960846 1761551 3523102 5284653 10569306 16494523 19377061 32989046 38754122 49483569 58131183 98967138 116262366 181439753 213147671 362879506 426295342 544319259 639443013 1088638518 1278886026 1995837283 3991674566 5987511849 11975023698 21954210113 43908420226 65862630339 131725260678