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5055666807361 = 41217323172
BaseRepresentation
bin100100110010001110100…
…1110010110001001000001
3122220022120010000221100011
41021210131032112021001
51130313001200313421
614430312525224521
71031155064550142
oct111443516261101
918808503027304
105055666807361
11167a107125885
126979a4702141
132a8993b7ca31
141369a4951ac9
158b7998354e1
hex4991d396241

5055666807361 has 27 divisors (see below), whose sum is σ = 5228603947483. Its totient is φ = 4888377572480.

The previous prime is 5055666807349. The next prime is 5055666807419. The reversal of 5055666807361 is 1637086665505.

The square root of 5055666807361 is 2248481.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4935368821761 + 120297985600 = 2221569^2 + 346840^2 .

It is not a de Polignac number, because 5055666807361 - 241 = 2856643551809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5055666807296 and 5055666807305.

It is not an unprimeable number, because it can be changed into a prime (5055666807341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15948475575 + ... + 15948475891.

Almost surely, 25055666807361 is an apocalyptic number.

5055666807361 is the 2248481-st square number.

5055666807361 is the 1124241-st centered octagonal number.

It is an amenable number.

5055666807361 is a deficient number, since it is larger than the sum of its proper divisors (172937140122).

5055666807361 is an frugal number, since it uses more digits than its factorization.

5055666807361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 58.

The spelling of 5055666807361 in words is "five trillion, fifty-five billion, six hundred sixty-six million, eight hundred seven thousand, three hundred sixty-one".

Divisors: 1 41 173 317 1681 7093 12997 29929 54841 100489 290813 532877 1227089 2248481 4120049 9487493 17384597 50310649 92187721 168922009 388987213 712768477 3007535281 15948475733 29223507557 123308946521 5055666807361