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55061101566141 = 31161107748134171
BaseRepresentation
bin11001000010011111010010…
…11001100101100010111101
321012221210022211122112222020
430201033221121211202331
524204110114000104031
6313034415412310353
714412014266056126
oct1441175131454275
9235853284575866
1055061101566141
11165a9311437650
1262132636123b9
132495316522bb8
14d84d85c6d04d
156573eb679096
hex3213e96658bd

55061101566141 has 64 divisors (see below), whose sum is σ = 82175959544832. Its totient is φ = 32511251520000.

The previous prime is 55061101566083. The next prime is 55061101566199. The reversal of 55061101566141 is 14166510116055.

It is an interprime number because it is at equal distance from previous prime (55061101566083) and next prime (55061101566199).

It is not a de Polignac number, because 55061101566141 - 26 = 55061101566077 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55061101566093 and 55061101566102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55061101566041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611322986 + ... + 1611357156.

It is an arithmetic number, because the mean of its divisors is an integer number (1283999367888).

Almost surely, 255061101566141 is an apocalyptic number.

It is an amenable number.

55061101566141 is a deficient number, since it is larger than the sum of its proper divisors (27114857978691).

55061101566141 is a wasteful number, since it uses less digits than its factorization.

55061101566141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41834.

The product of its (nonzero) digits is 108000, while the sum is 42.

The spelling of 55061101566141 in words is "fifty-five trillion, sixty-one billion, one hundred one million, five hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 3 11 33 61 107 183 321 671 1177 2013 3531 6527 7481 19581 22443 34171 71797 82291 102513 215391 246873 375881 456341 800467 1127643 1369023 2084431 2401401 3656297 5019751 6253293 8805137 10968891 15059253 22928741 26415411 40219267 48828487 68786223 120657801 146485461 223034117 255633251 537113357 669102351 766899753 1611340071 2453375287 2811965761 7360125861 8435897283 15593628311 27352757857 46780884933 82058273571 171529911421 300880336427 514589734263 902641009281 1668518229277 5005554687831 18353700522047 55061101566141