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152185581252 = 22324398311099
BaseRepresentation
bin1000110110111011110…
…1111010111011000100
3112112211002000112201100
42031232331322323010
54443134002100002
6153525121100100
713665205045155
oct2155675727304
9475732015640
10152185581252
11595a587a751
12255b2787630
1311474302bc3
147519b5792c
153e5a8ee11c
hex236ef7aec4

152185581252 has 36 divisors (see below), whose sum is σ = 393637644400. Its totient is φ = 49548793392.

The previous prime is 152185581211. The next prime is 152185581257. The reversal of 152185581252 is 252185581251.

152185581252 is a `hidden beast` number, since 1 + 5 + 2 + 18 + 5 + 581 + 2 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1521855812522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152185581198 and 152185581207.

It is not an unprimeable number, because it can be changed into a prime (152185581257) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49154002 + ... + 49157097.

Almost surely, 2152185581252 is an apocalyptic number.

152185581252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152185581252 is an abundant number, since it is smaller than the sum of its proper divisors (241452063148).

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

152185581252 is a wasteful number, since it uses less digits than its factorization.

152185581252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98311152 (or 98311147 counting only the distinct ones).

The product of its digits is 320000, while the sum is 45.

Subtracting 152185581252 from its reverse (252185581251), we obtain a palindrome (99999999999).

The spelling of 152185581252 in words is "one hundred fifty-two billion, one hundred eighty-five million, five hundred eighty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 98311099 196622198 294933297 393244396 589866594 884799891 1179733188 1769599782 3539199564 4227377257 8454754514 12682131771 16909509028 25364263542 38046395313 50728527084 76092790626 152185581252