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135268620984 = 23327733676577
BaseRepresentation
bin111110111111010100…
…0110101101010111000
3110221011002202220220100
41331332220311222320
54204012231332414
6142050323555400
712526040210250
oct1757650655270
9427132686810
10135268620984
1152404679052
122227122bb60
13c9a9595643
1467930d2960
1537ba67b609
hex1f7ea35ab8

135268620984 has 96 divisors (see below), whose sum is σ = 424424164320. Its totient is φ = 38118739968.

The previous prime is 135268620973. The next prime is 135268621009. The reversal of 135268620984 is 489026862531.

135268620984 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 6 + 8 + 620 + 9 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135268620984.

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, 1801497 + ... + 1875080.

It is an arithmetic number, because the mean of its divisors is an integer number (4421085045).

Almost surely, 2135268620984 is an apocalyptic number.

135268620984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135268620984 is an abundant number, since it is smaller than the sum of its proper divisors (289155543336).

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

135268620984 is a wasteful number, since it uses less digits than its factorization.

135268620984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676669 (or 3676662 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 135268620984 in words is "one hundred thirty-five billion, two hundred sixty-eight million, six hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 4088 4599 5256 6132 9198 12264 18396 36792 3676577 7353154 11029731 14706308 22059462 25736039 29412616 33089193 44118924 51472078 66178386 77208117 88237848 102944156 132356772 154416234 205888312 231624351 264713544 268390121 308832468 463248702 536780242 617664936 805170363 926497404 1073560484 1610340726 1852994808 1878730847 2147120968 2415511089 3220681452 3757461694 4831022178 5636192541 6441362904 7514923388 9662044356 11272385082 15029846776 16908577623 19324088712 22544770164 33817155246 45089540328 67634310492 135268620984