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30526857144 = 2332770985429
BaseRepresentation
bin11100011011100010…
…101101111110111000
32220210110200000111200
4130123202231332320
51000004333412034
622005052254200
72130325001340
oct343342557670
986713600450
1030526857144
1111a45684663
125abb471360
132b565917a4
1416983d1d20
15bd9ee9a99
hex71b8adfb8

30526857144 has 96 divisors (see below), whose sum is σ = 94622268000. Its totient is φ = 8709555456.

The previous prime is 30526857139. The next prime is 30526857191. The reversal of 30526857144 is 44175862503.

30526857144 is a `hidden beast` number, since 3 + 0 + 526 + 85 + 7 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30526857144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314622 + ... + 400050.

It is an arithmetic number, because the mean of its divisors is an integer number (985648625).

Almost surely, 230526857144 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 30526857144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47311134000).

30526857144 is an abundant number, since it is smaller than the sum of its proper divisors (64095410856).

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

30526857144 is a wasteful number, since it uses less digits than its factorization.

30526857144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86157 (or 86150 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 30526857144 in words is "thirty billion, five hundred twenty-six million, eight hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 709 1418 2127 2836 4254 4963 5672 6381 8508 9926 12762 14889 17016 19852 25524 29778 39704 44667 51048 59556 85429 89334 119112 170858 178668 256287 341716 357336 512574 598003 683432 768861 1025148 1196006 1537722 1794009 2050296 2392012 3075444 3588018 4784024 5382027 6150888 7176036 10764054 14352072 21528108 43056216 60569161 121138322 181707483 242276644 363414966 423984127 484553288 545122449 726829932 847968254 1090244898 1271952381 1453659864 1695936508 2180489796 2543904762 3391873016 3815857143 4360979592 5087809524 7631714286 10175619048 15263428572 30526857144