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46710015625 = 5672132192
BaseRepresentation
bin101011100000001000…
…100100011010001001
311110120022010122111201
4223200020210122021
51231130231000000
633242553424201
73242342403400
oct534010443211
9143508118451
1046710015625
111889a64a0a9
12907710b061
134535286400
142391800637
151335b1e96a
hexae0224689

46710015625 has 189 divisors, whose sum is σ = 77620315041. Its totient is φ = 28009800000.

The previous prime is 46710015623. The next prime is 46710015637. The reversal of 46710015625 is 52651001764.

It is a happy number.

The square root of 46710015625 is 216125.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 21912584841 + 24797430784 = 148029^2 + 157472^2 .

It is not a de Polignac number, because 46710015625 - 21 = 46710015623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46710015623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2458421866 + ... + 2458421884.

Almost surely, 246710015625 is an apocalyptic number.

46710015625 is the 216125-th square number.

46710015625 is the 108063-rd centered octagonal number.

It is an amenable number.

46710015625 is a deficient number, since it is larger than the sum of its proper divisors (30910299416).

46710015625 is an frugal number, since it uses more digits than its factorization.

46710015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 46710015625 in words is "forty-six billion, seven hundred ten million, fifteen thousand, six hundred twenty-five".