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131314545768 = 23371815577753
BaseRepresentation
bin111101001001011110…
…1001111010001101000
3110112221112111002102010
41322102331033101220
54122413010431033
6140154114235520
712326045136210
oct1722275172150
9415845432363
10131314545768
115076570189a
1221548b85ba0
13c4c9333473
1464d9cd5240
153638478863
hex1e92f4f468

131314545768 has 128 divisors (see below), whose sum is σ = 377983307520. Its totient is φ = 37239367680.

The previous prime is 131314545751. The next prime is 131314545773. The reversal of 131314545768 is 867545413131.

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, 16933380 + ... + 16941132.

It is an arithmetic number, because the mean of its divisors is an integer number (2952994590).

Almost surely, 2131314545768 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 131314545768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188991653760).

131314545768 is an abundant number, since it is smaller than the sum of its proper divisors (246668761752).

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

131314545768 is a wasteful number, since it uses less digits than its factorization.

131314545768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8503 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

Adding to 131314545768 its reverse (867545413131), we get a palindrome (998859958899).

The spelling of 131314545768 in words is "one hundred thirty-one billion, three hundred fourteen million, five hundred forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 557 724 1086 1114 1267 1448 1671 2172 2228 2534 3342 3801 3899 4344 4456 5068 6684 7602 7753 7798 10136 11697 13368 15204 15506 15596 23259 23394 30408 31012 31192 46518 46788 54271 62024 93036 93576 100817 108542 162813 186072 201634 217084 302451 325626 403268 434168 604902 651252 705719 806536 1209804 1302504 1403293 1411438 2117157 2419608 2806586 2822876 4209879 4234314 4318421 5613172 5645752 8419758 8468628 8636842 9823051 11226344 12955263 16839516 16937256 17273684 19646102 25910526 29469153 30228947 33679032 34547368 39292204 51821052 58938306 60457894 78584408 90686841 103642104 117876612 120915788 181373682 235753224 241831576 362747364 725494728 781634201 1563268402 2344902603 3126536804 4689805206 5471439407 6253073608 9379610412 10942878814 16414318221 18759220824 21885757628 32828636442 43771515256 65657272884 131314545768