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20434532625 = 3253131397233
BaseRepresentation
bin10011000001111111…
…100011100100010001
31221202010011210221200
4103001333203210101
5313322220021000
613215410541413
71322246442603
oct230177434421
957663153850
1020434532625
1187368408a1
123b63597869
131c0871a330
14dbbcb9173
157e8ea1500
hex4c1fe3911

20434532625 has 48 divisors (see below), whose sum is σ = 39670267728. Its totient is φ = 10060070400.

The previous prime is 20434532617. The next prime is 20434532641. The reversal of 20434532625 is 52623543402.

20434532625 is a `hidden beast` number, since 20 + 4 + 3 + 4 + 5 + 3 + 2 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5911149456 + 14523383169 = 76884^2 + 120513^2 .

It is not a de Polignac number, because 20434532625 - 23 = 20434532617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20434532625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683992 + ... + 713241.

It is an arithmetic number, because the mean of its divisors is an integer number (826463911).

Almost surely, 220434532625 is an apocalyptic number.

20434532625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20434532625 is a deficient number, since it is larger than the sum of its proper divisors (19235735103).

20434532625 is a wasteful number, since it uses less digits than its factorization.

20434532625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397267 (or 1397254 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 20434532625 in words is "twenty billion, four hundred thirty-four million, five hundred thirty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 14625 1397233 4191699 6986165 12575097 18164029 20958495 34930825 54492087 62875485 90820145 104792475 163476261 174654125 272460435 314377425 454100725 523962375 817381305 1362302175 1571887125 2270503625 4086906525 6811510875 20434532625