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46368300889 = 34926172
BaseRepresentation
bin101011001011110001…
…000001111101011001
311102200111010202000101
4223023301001331121
51224430241112024
633145025335401
73231023024461
oct531361017531
9142614122011
1046368300889
1118734773829
128ba0797561
1344ac541441
14235c28cba1
151315b20c44
hexacbc41f59

46368300889 has 9 divisors (see below), whose sum is σ = 46577031357. Its totient is φ = 46160504544.

The previous prime is 46368300793. The next prime is 46368300919. The reversal of 46368300889 is 98800386364.

It is a happy number.

The square root of 46368300889 is 215333.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6091022025 + 40277278864 = 78045^2 + 200692^2 .

It is not a de Polignac number, because 46368300889 - 211 = 46368298841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46368310889) 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 8 ways as a sum of consecutive naturals, for example, 75150909 + ... + 75151525.

Almost surely, 246368300889 is an apocalyptic number.

46368300889 is the 215333-rd square number.

46368300889 is the 107667-th centered octagonal number.

It is an amenable number.

46368300889 is a deficient number, since it is larger than the sum of its proper divisors (208730468).

46368300889 is an frugal number, since it uses more digits than its factorization.

46368300889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 46368300889 in words is "forty-six billion, three hundred sixty-eight million, three hundred thousand, eight hundred eighty-nine".

Divisors: 1 349 617 121801 215333 380689 75151217 132860461 46368300889