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130071308078008 = 23112794703361663
BaseRepresentation
bin11101100100110010010110…
…000111010000101110111000
3122001112200210002201222100001
4131210302112013100232320
5114022042014331444013
61140345533425322344
736253225161314563
oct3544622607205670
9561480702658301
10130071308078008
1138498a28504700
1212708835a963b4
135776896a0559b
1424196b07d94da
1510086be942ddd
hex764c961d0bb8

130071308078008 has 96 divisors (see below), whose sum is σ = 271522285977600. Its totient is φ = 58362351727680.

The previous prime is 130071308077937. The next prime is 130071308078143. The reversal of 130071308078008 is 800870803170031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359466985 + ... + 359828647.

It is an arithmetic number, because the mean of its divisors is an integer number (2828357145600).

Almost surely, 2130071308078008 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 130071308078008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135761142988800).

130071308078008 is an abundant number, since it is smaller than the sum of its proper divisors (141450977899592).

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

130071308078008 is a wasteful number, since it uses less digits than its factorization.

130071308078008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366473 (or 366458 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 130071308078008 in words is "one hundred thirty trillion, seventy-one billion, three hundred eight million, seventy-eight thousand, eight".

Divisors: 1 2 4 8 11 22 44 79 88 121 158 242 316 484 632 869 968 1738 3476 4703 6952 9406 9559 18812 19118 37624 38236 51733 76472 103466 206932 361663 371537 413864 569063 723326 743074 1138126 1446652 1486148 2276252 2893304 2972296 3978293 4086907 4552504 7956586 8173814 15913172 16347628 28571377 31826344 32695256 43761223 44955977 57142754 87522446 89911954 114285508 175044892 179823908 228571016 314285147 350089784 359647816 628570294 1257140588 1700901089 2514281176 3401802178 3457136617 6803604356 6914273234 13607208712 13828546468 18709911979 27657092936 37419823958 74839647916 134371186031 149679295832 205809031769 268742372062 411618063538 537484744124 823236127076 1074969488248 1478083046341 1646472254152 2956166092682 5912332185364 11824664370728 16258913509751 32517827019502 65035654039004 130071308078008