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131324745726 = 23271979711091
BaseRepresentation
bin111101001001110010…
…0001001011111111110
3110112222020200022010100
41322103210021133332
54122423113330401
6140155121021530
712326230630536
oct1722344113776
9415866608110
10131324745726
1150770439209
12215504848a6
13c4cb495045
1464db3cc4c6
1536392e0b86
hex1e939097fe

131324745726 has 96 divisors (see below), whose sum is σ = 292086902016. Its totient is φ = 42630336000.

The previous prime is 131324745709. The next prime is 131324745733. The reversal of 131324745726 is 627547423131.

It is a happy number.

131324745726 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 4 + 74 + 572 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120370441 + ... + 120371531.

It is an arithmetic number, because the mean of its divisors is an integer number (3042571896).

Almost surely, 2131324745726 is an apocalyptic number.

131324745726 is an abundant number, since it is smaller than the sum of its proper divisors (160762156290).

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

131324745726 is a wasteful number, since it uses less digits than its factorization.

131324745726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2235 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 131324745726 in words is "one hundred thirty-one billion, three hundred twenty-four million, seven hundred forty-five thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 71 97 142 194 213 291 426 582 639 873 971 1091 1278 1746 1942 2182 2913 3273 5826 6546 6887 8739 9819 13774 17478 19638 20661 41322 61983 68941 77461 94187 105827 123966 137882 154922 188374 206823 211654 232383 282561 317481 413646 464766 565122 620469 634962 697149 847683 952443 1059361 1240938 1394298 1695366 1904886 2118722 3178083 6356166 6687277 7513717 9534249 13374554 15027434 19068498 20061831 22541151 40123662 45082302 60185493 67623453 75214631 102758017 120370986 135246906 150429262 205516034 225643893 308274051 451287786 616548102 676931679 924822153 1353863358 1849644306 7295819207 14591638414 21887457621 43774915242 65662372863 131324745726