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46130018841 = 32715932
BaseRepresentation
bin101010111101100100…
…000011101000011001
311102001212202202111100
4222331210003220121
51223433241100331
633105234222013
73222100455564
oct527544035031
9142055682440
1046130018841
1118622213a15
128b34a24909
13447207254a
1423387834db
1512eec53ae6
hexabd903a19

46130018841 has 9 divisors (see below), whose sum is σ = 66633180159. Its totient is φ = 30752916336.

The previous prime is 46130018819. The next prime is 46130018843. The reversal of 46130018841 is 14881003164.

It is a happy number.

The square root of 46130018841 is 214779.

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

It can be written as a sum of positive squares in only one way, i.e., 19464435225 + 26665583616 = 139515^2 + 163296^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 46130018841 - 29 = 46130018329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46130018796 and 46130018805.

It is not an unprimeable number, because it can be changed into a prime (46130018843) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 608541 + ... + 680133.

Almost surely, 246130018841 is an apocalyptic number.

46130018841 is the 214779-th square number.

46130018841 is the 107390-th centered octagonal number.

It is an amenable number.

46130018841 is a deficient number, since it is larger than the sum of its proper divisors (20503161318).

46130018841 is an frugal number, since it uses more digits than its factorization.

46130018841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143192 (or 71596 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 46130018841 by its sum of digits (36), we get a square (1660680678276 = 12886742).

The spelling of 46130018841 in words is "forty-six billion, one hundred thirty million, eighteen thousand, eight hundred forty-one".

Divisors: 1 3 9 71593 214779 644337 5125557649 15376672947 46130018841