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163542536455050 = 232522202171650317
BaseRepresentation
bin100101001011110110110110…
…110010101000001110001010
3210110001111212120000211122200
4211023312312302220032022
5132413440103313030200
61335454223135501030
746306362340256064
oct4513666662501612
9713044776024580
10163542536455050
1148123000313735
1216413780687776
137033cc2078c0c
142c55702a52734
1513d91b3c0d800
hex94bdb6ca838a

163542536455050 has 72 divisors (see below), whose sum is σ = 439386542752716. Its totient is φ = 43611118590720.

The previous prime is 163542536455021. The next prime is 163542536455057. The reversal of 163542536455050 is 50554635245361.

163542536455050 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 4 + 2 + 5 + 36 + 4 + 550 + 50 = 666.

163542536455050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 129812913241209 + 33729623213841 = 11393547^2 + 5807721^2 .

It is a super-2 number, since 2×1635425364550502 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163542536455057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98272492 + ... + 99922808.

Almost surely, 2163542536455050 is an apocalyptic number.

163542536455050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163542536455050 is an abundant number, since it is smaller than the sum of its proper divisors (275844006297666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163542536455050 is a wasteful number, since it uses less digits than its factorization.

163542536455050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870552 (or 1870544 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 163542536455050 in words is "one hundred sixty-three trillion, five hundred forty-two billion, five hundred thirty-six million, four hundred fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 220217 440434 660651 1101085 1321302 1650317 1981953 2202170 3300634 3303255 3963906 4950951 5505425 6606510 8251585 9901902 9909765 11010850 14852853 16503170 16516275 19819530 24754755 29705706 33032550 41257925 49509510 49548825 74264265 82515850 99097650 123773775 148528530 247547550 371321325 742642650 363427858789 726855717578 1090283576367 1817139293945 2180567152734 3270850729101 3634278587890 5451417881835 6541701458202 9085696469725 10902835763670 16354253645505 18171392939450 27257089409175 32708507291010 54514178818350 81771268227525 163542536455050