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54154366345145 = 51147731372094737
BaseRepresentation
bin11000101000000110010111…
…10001001101111110111001
321002202002212220100210110102
430110003023301031332321
524044231120241021040
6311102101125525145
714256344452623563
oct1424031361157671
9232662786323412
1054154366345145
1116289813000610
1260a758b8737b5
13242a972579431
14d5312a172333
1563da2cbd6515
hex3140cbc4dfb9

54154366345145 has 64 divisors (see below), whose sum is σ = 73928901159936. Its totient is φ = 37741445038080.

The previous prime is 54154366345127. The next prime is 54154366345201.

54154366345145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54154366345145 - 28 = 54154366344889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24805217 + ... + 26899953.

It is an arithmetic number, because the mean of its divisors is an integer number (1155139080624).

Almost surely, 254154366345145 is an apocalyptic number.

54154366345145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54154366345145 is a deficient number, since it is larger than the sum of its proper divisors (19774534814791).

54154366345145 is a wasteful number, since it uses less digits than its factorization.

54154366345145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095010.

The product of its digits is 51840000, while the sum is 56.

The spelling of 54154366345145 in words is "fifty-four trillion, one hundred fifty-four billion, three hundred sixty-six million, three hundred forty-five thousand, one hundred forty-five".

Divisors: 1 5 11 47 55 73 137 235 365 517 685 803 1507 2585 3431 4015 6439 7535 10001 17155 32195 37741 50005 70829 110011 188705 354145 470047 550055 2094737 2350235 5170517 10473685 23042107 25852585 98452639 115210535 152915801 286978969 492263195 764579005 1082979029 1434894845 1682073811 3156768659 5414895145 7187042647 8410369055 13488011543 15783843295 20949464737 35935213235 67440057715 79057469117 104747323685 148368126973 230444112107 395287345585 741840634865 984624842639 1152220560535 4923124213195 10830873269029 54154366345145