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531432000305 = 5416142497561
BaseRepresentation
bin1111011101110111101…
…00001100101100110001
31212210201102001202201222
413232323310030230301
532201333043002210
61044045252034425
753252244320243
oct7567364145461
91783642052658
10531432000305
11195419567558
1286bb3602a15
133b1630b6c1b
141ba15910093
15dc55323655
hex7bbbd0cb31

531432000305 has 16 divisors (see below), whose sum is σ = 663981908688. Its totient is φ = 407976576000.

The previous prime is 531432000259. The next prime is 531432000311. The reversal of 531432000305 is 503000234135.

It can be written as a sum of positive squares in 8 ways, for example, as 306350073121 + 225081927184 = 553489^2 + 474428^2 .

It is not a de Polignac number, because 531432000305 - 210 = 531431999281 is a prime.

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 21236276 + ... + 21261285.

It is an arithmetic number, because the mean of its divisors is an integer number (41498869293).

Almost surely, 2531432000305 is an apocalyptic number.

It is an amenable number.

531432000305 is a deficient number, since it is larger than the sum of its proper divisors (132549908383).

531432000305 is a wasteful number, since it uses less digits than its factorization.

531432000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42497668.

The product of its (nonzero) digits is 5400, while the sum is 26.

It can be divided in two parts, 531432000 and 305, that multiplied together give a square (162086760000 = 4026002).

The spelling of 531432000305 in words is "five hundred thirty-one billion, four hundred thirty-two million, three hundred five", and thus it is an aban number.

Divisors: 1 5 41 61 205 305 2501 12505 42497561 212487805 1742400001 2592351221 8712000005 12961756105 106286400061 531432000305