Search a number
-
+
54169777905957 = 347111785530463
BaseRepresentation
bin11000101000100011000100…
…10111101010000100100101
321002210120122221221012110000
430110101202113222010211
524100004201120442312
6311113130305051513
714260431411005010
oct1424214227520445
9232716587835400
1054169777905957
111629530147432a
1260aa571026b99
13242c25a453b9c
14d53b8ccca377
1563e130be4adc
hex3144625ea125

54169777905957 has 40 divisors (see below), whose sum is σ = 92563120871936. Its totient is φ = 30926446571808.

The previous prime is 54169777905941. The next prime is 54169777905979. The reversal of 54169777905957 is 75950977796145.

54169777905957 is a `hidden beast` number, since 5 + 4 + 16 + 9 + 7 + 7 + 7 + 9 + 0 + 595 + 7 = 666.

It is not a de Polignac number, because 54169777905957 - 24 = 54169777905941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54169777905457) 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 39 ways as a sum of consecutive naturals, for example, 42131893 + ... + 43398570.

Almost surely, 254169777905957 is an apocalyptic number.

It is an amenable number.

54169777905957 is a deficient number, since it is larger than the sum of its proper divisors (38393342965979).

54169777905957 is a wasteful number, since it uses less digits than its factorization.

54169777905957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85531599 (or 85531590 counting only the distinct ones).

The product of its (nonzero) digits is 5250987000, while the sum is 81.

The spelling of 54169777905957 in words is "fifty-four trillion, one hundred sixty-nine billion, seven hundred seventy-seven million, nine hundred five thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 81 189 567 1117 3351 7819 10053 23457 30159 70371 90477 211113 633339 85530463 256591389 598713241 769774167 1796139723 2309322501 5388419169 6927967503 16165257507 48495772521 95537527171 286612581513 668762690197 859837744539 2006288070591 2579513233617 6018864211773 7738539700851 18056592635319 54169777905957