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252246642252 = 2231118797101663
BaseRepresentation
bin1110101011101100010…
…0100100111001001100
3220010002111120002220120
43222323010210321030
513113100120023002
6311514104544540
724136623040113
oct3527304447114
9803074502816
10252246642252
1197a82720890
1240a78a82150
131aa2c6714c7
14c2ccd50c7a
15686519acbc
hex3abb124e4c

252246642252 has 48 divisors (see below), whose sum is σ = 642122836992. Its totient is φ = 76433558080.

The previous prime is 252246642251. The next prime is 252246642257.

252246642252 is nontrivially palindromic in base 10.

252246642252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252246642251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2430373 + ... + 2532035.

It is an arithmetic number, because the mean of its divisors is an integer number (13377559104).

Almost surely, 2252246642252 is an apocalyptic number.

252246642252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252246642252 is an abundant number, since it is smaller than the sum of its proper divisors (389876194740).

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

252246642252 is a wasteful number, since it uses less digits than its factorization.

252246642252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120478 (or 120476 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 252246 and 642252, that added together give a palindrome (894498).

The spelling of 252246642252 in words is "two hundred fifty-two billion, two hundred forty-six million, six hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 18797 37594 56391 75188 101663 112782 203326 206767 225564 304989 406652 413534 609978 620301 827068 1118293 1219956 1240602 2236586 2481204 3354879 4473172 6709758 13419516 1910959411 3821918822 5732878233 7643837644 11465756466 21020553521 22931512932 42041107042 63061660563 84082214084 126123321126 252246642252