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46268440201 = 172126532
BaseRepresentation
bin101011000101110100…
…000101111010001001
311102102112020021220101
4223011310011322021
51224224210041301
633131101125401
73225401152444
oct530564057211
9142375207811
1046268440201
1118693367a35
128b73259861
134494949189
14234ccd665b
15130be97701
hexac5d05e89

46268440201 has 9 divisors (see below), whose sum is σ = 49154096341. Its totient is φ = 43543325632.

The previous prime is 46268440187. The next prime is 46268440223. The reversal of 46268440201 is 10204486264.

It is a happy number.

The square root of 46268440201 is 215101.

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 7938631801 + 38329808400 = 89099^2 + 195780^2 .

It is not a de Polignac number, because 46268440201 - 213 = 46268432009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46268140201) 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, 3650391 + ... + 3663043.

Almost surely, 246268440201 is an apocalyptic number.

46268440201 is the 215101-st square number.

46268440201 is the 107551-st centered octagonal number.

It is an amenable number.

46268440201 is a deficient number, since it is larger than the sum of its proper divisors (2885656140).

46268440201 is an frugal number, since it uses more digits than its factorization.

46268440201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25340 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 46268440201 in words is "forty-six billion, two hundred sixty-eight million, four hundred forty thousand, two hundred one".

Divisors: 1 17 289 12653 215101 3656717 160098409 2721672953 46268440201