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46551946081 = 35926012
BaseRepresentation
bin101011010110101101…
…100101001101100001
311110011021200212212011
4223112231211031201
51230314244233311
633215145432521
73235413004264
oct532655451541
9143137625764
1046551946081
11188193a6113
12903219b741
13450b5c0534
142378814cdb
151326ce9321
hexad6b65361

46551946081 has 9 divisors (see below), whose sum is σ = 46759781523. Its totient is φ = 46345033200.

The previous prime is 46551946009. The next prime is 46551946117. The reversal of 46551946081 is 18064915564.

It is a happy number.

The square root of 46551946081 is 215759.

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., 39128400481 + 7423545600 = 197809^2 + 86160^2 .

It is not a de Polignac number, because 46551946081 - 213 = 46551937889 is a prime.

It is a super-2 number, since 2×465519460812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46551941081) 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, 77457181 + ... + 77457781.

Almost surely, 246551946081 is an apocalyptic number.

46551946081 is the 215759-th square number.

46551946081 is the 107880-th centered octagonal number.

It is an amenable number.

46551946081 is a deficient number, since it is larger than the sum of its proper divisors (207835442).

46551946081 is an frugal number, since it uses more digits than its factorization.

46551946081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 46551946081 by its sum of digits (49), we get a square (2281045357969 = 15103132).

The spelling of 46551946081 in words is "forty-six billion, five hundred fifty-one million, nine hundred forty-six thousand, eighty-one".

Divisors: 1 359 601 128881 215759 361201 77457481 129671159 46551946081