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152553424212 = 223272175087149
BaseRepresentation
bin1000111000010011100…
…1001000010101010100
3112120202201011220101200
42032010321020111110
54444412134033322
6154025421152500
714010262465500
oct2160471102524
9476681156350
10152553424212
11597744815a2
12256959bb730
1311502595767
14755294b300
153e7cd5e8ac
hex2384e48554

152553424212 has 108 divisors (see below), whose sum is σ = 474966846900. Its totient is φ = 41022761472.

The previous prime is 152553424207. The next prime is 152553424213. The reversal of 152553424212 is 212424355251.

152553424212 is a `hidden beast` number, since 1 + 52 + 55 + 342 + 4 + 212 = 666.

152553424212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 137942416836 + 14611007376 = 371406^2 + 120876^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152553424213) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2513587 + ... + 2573562.

It is an arithmetic number, because the mean of its divisors is an integer number (4397841175).

Almost surely, 2152553424212 is an apocalyptic number.

152553424212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152553424212 is an abundant number, since it is smaller than the sum of its proper divisors (322413422688).

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

152553424212 is a wasteful number, since it uses less digits than its factorization.

152553424212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087190 (or 5087178 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 152553424212 its reverse (212424355251), we get a palindrome (364977779463).

The spelling of 152553424212 in words is "one hundred fifty-two billion, five hundred fifty-three million, four hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4284 4998 7497 9996 14994 29988 5087149 10174298 15261447 20348596 30522894 35610043 45784341 61045788 71220086 86481533 91568682 106830129 142440172 172963066 183137364 213660258 249270301 259444599 320490387 345926132 427320516 498540602 518889198 605370731 640980774 747810903 778333797 997081204 1037778396 1210741462 1281961548 1495621806 1556667594 1816112193 2243432709 2421482924 2991243612 3113335188 3632224386 4237595117 4486865418 5448336579 7264448772 8475190234 8973730836 10896673158 12712785351 16950380468 21793346316 25425570702 38138356053 50851141404 76276712106 152553424212