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54414532161 = 331117103310433
BaseRepresentation
bin110010101011010110…
…111101111001000001
312012110020112122022000
4302223112331321001
51342420110012121
640555300134213
73634304614623
oct625326757101
9165406478260
1054414532161
1121093648440
12a667397369
135192520432
1428c2b4cc13
1516371ee526
hexcab5bde41

54414532161 has 64 divisors (see below), whose sum is σ = 93214851840. Its totient is φ = 31005573120.

The previous prime is 54414532153. The next prime is 54414532169. The reversal of 54414532161 is 16123541445.

54414532161 is a `hidden beast` number, since 5 + 4 + 41 + 453 + 2 + 161 = 666.

It is an interprime number because it is at equal distance from previous prime (54414532153) and next prime (54414532169).

It is not a de Polignac number, because 54414532161 - 23 = 54414532153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54414532169) 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, 5210401 + ... + 5220833.

It is an arithmetic number, because the mean of its divisors is an integer number (1456482060).

Almost surely, 254414532161 is an apocalyptic number.

54414532161 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54414532161 is a deficient number, since it is larger than the sum of its proper divisors (38800319679).

54414532161 is a wasteful number, since it uses less digits than its factorization.

54414532161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503 (or 11497 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 54414532161 in words is "fifty-four billion, four hundred fourteen million, five hundred thirty-two thousand, one hundred sixty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1033 1683 3099 5049 9297 10433 11363 17561 27891 31299 34089 52683 93897 102267 114763 158049 177361 193171 281691 306801 344289 474147 532083 579513 1032867 1596249 1738539 1950971 3098601 4788747 5215617 5852913 10777289 17558739 32331867 52676217 96995601 118550179 183213913 290986803 355650537 549641739 1066951611 1648925217 2015353043 3200854833 4946775651 6046059129 18138177387 54414532161