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54013436454150 = 23352264715115207
BaseRepresentation
bin11000100011111111110111…
…01100010110010100000110
321002020122010020220120002000
430101333323230112110012
524034424004213013100
6310513232525130130
714243225210413035
oct1421777354262406
9232218106816060
1054013436454150
1116234a73829618
1260841ba6b9946
13241a5a31565a4
14d4a39b24671c
1563a030531900
hex311ffbb16506

54013436454150 has 96 divisors (see below), whose sum is σ = 148893263316480. Its totient is φ = 14398140627360.

The previous prime is 54013436454127. The next prime is 54013436454151. The reversal of 54013436454150 is 5145463431045.

54013436454150 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 3 + 43 + 6 + 454 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 54013436454096 and 54013436454105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54013436454151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984154 + ... + 11131053.

It is an arithmetic number, because the mean of its divisors is an integer number (1550971492880).

Almost surely, 254013436454150 is an apocalyptic number.

54013436454150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54013436454150 is an abundant number, since it is smaller than the sum of its proper divisors (94879826862330).

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

54013436454150 is a wasteful number, since it uses less digits than its factorization.

54013436454150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117875 (or 15117864 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 54013436454150 its reverse (5145463431045), we get a palindrome (59158899885195).

The spelling of 54013436454150 in words is "fifty-four trillion, thirteen billion, four hundred thirty-six million, four hundred fifty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 2647 5294 7941 13235 15882 23823 26470 39705 47646 66175 71469 79410 119115 132350 142938 198525 238230 357345 397050 595575 714690 1191150 1786725 3573450 15115207 30230414 45345621 75576035 90691242 136036863 151152070 226728105 272073726 377880175 408110589 453456210 680184315 755760350 816221178 1133640525 1360368630 2040552945 2267281050 3400921575 4081105890 6801843150 10202764725 20405529450 40009952929 80019905858 120029858787 200049764645 240059717574 360089576361 400099529290 600149293935 720179152722 1000248823225 1080268729083 1200298587870 1800447881805 2000497646450 2160537458166 3000746469675 3600895763610 5401343645415 6001492939350 9002239409025 10802687290830 18004478818050 27006718227075 54013436454150