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46388363641 = 172899718593
BaseRepresentation
bin101011001100111101…
…100100000101111001
311102201212220000221021
4223030331210011321
51230000410114031
633151023342441
73231355404454
oct531475440571
9142655800837
1046388363641
1118745027214
128ba7451a21
1344b37472a9
142360bd249b
151317785511
hexaccf64179

46388363641 has 24 divisors (see below), whose sum is σ = 50347717560. Its totient is φ = 42721738752.

The previous prime is 46388363633. The next prime is 46388363647. The reversal of 46388363641 is 14636388364.

It can be written as a sum of positive squares in 12 ways, for example, as 2792594025 + 43595769616 = 52845^2 + 208796^2 .

It is not a de Polignac number, because 46388363641 - 23 = 46388363633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46388363647) 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 23 ways as a sum of consecutive naturals, for example, 2485641 + ... + 2504233.

It is an arithmetic number, because the mean of its divisors is an integer number (2097821565).

Almost surely, 246388363641 is an apocalyptic number.

It is an amenable number.

46388363641 is a deficient number, since it is larger than the sum of its proper divisors (3959353919).

46388363641 is a wasteful number, since it uses less digits than its factorization.

46388363641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813 (or 18796 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 52.

The spelling of 46388363641 in words is "forty-six billion, three hundred eighty-eight million, three hundred sixty-three thousand, six hundred forty-one".

Divisors: 1 17 89 97 289 1513 1649 8633 18593 25721 28033 146761 316081 1654777 1803521 2494937 5373377 28131209 30659857 160513369 478230553 521217569 2728727273 46388363641