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55257104743173 = 32172937336586717
BaseRepresentation
bin11001001000001100011000…
…00110010111101100000101
321020122112020122012121002100
430210012030012113230011
524220313022303240143
6313304432524502313
714432123365431054
oct1444061406275405
9236575218177070
1055257104743173
1116674452094573
1262452446aa999
1324aa951793768
14d9065b1c639b
1565c56dca46d3
hex32418c197b05

55257104743173 has 48 divisors (see below), whose sum is σ = 89787872893680. Its totient is φ = 32570823333888.

The previous prime is 55257104743171. The next prime is 55257104743199. The reversal of 55257104743173 is 37134740175255.

55257104743173 is a `hidden beast` number, since 5 + 5 + 2 + 5 + 71 + 0 + 474 + 31 + 73 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2604114830529 + 52652989912644 = 1613727^2 + 7256238^2 .

It is not a de Polignac number, because 55257104743173 - 21 = 55257104743171 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55257104743171) 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 47 ways as a sum of consecutive naturals, for example, 168129190 + ... + 168457527.

It is an arithmetic number, because the mean of its divisors is an integer number (1870580685285).

Almost surely, 255257104743173 is an apocalyptic number.

It is an amenable number.

55257104743173 is a deficient number, since it is larger than the sum of its proper divisors (34530768150507).

55257104743173 is a wasteful number, since it uses less digits than its factorization.

55257104743173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336586806 (or 336586803 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 55257104743173 in words is "fifty-five trillion, two hundred fifty-seven billion, one hundred four million, seven hundred forty-three thousand, one hundred seventy-three".

Divisors: 1 3 9 17 29 37 51 87 111 153 261 333 493 629 1073 1479 1887 3219 4437 5661 9657 18241 54723 164169 336586717 1009760151 3029280453 5721974189 9761014793 12453708529 17165922567 29283044379 37361125587 51497767701 87849133137 112083376761 165937251481 211713044993 361157547341 497811754443 635139134979 1083472642023 1493435263329 1905417404937 3250417926069 6139678304797 18419034914391 55257104743173