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54033550340100 = 223521271418203421
BaseRepresentation
bin11000100100100101010101…
…00100101111000000000100
321002022120001000201211110220
430102102222210233000010
524040241202341340400
6310530400443344340
714244536514544662
oct1422225244570004
9232276030654426
1054033550340100
1116242555573861
1260880928220b0
13241c45a2c7256
14d4b3486d5c32
1563a80b2967a0
hex3124aa92f004

54033550340100 has 72 divisors (see below), whose sum is σ = 157568072997888. Its totient is φ = 14295490473600.

The previous prime is 54033550340087. The next prime is 54033550340183. The reversal of 54033550340100 is 104305533045.

It is a super-2 number, since 2×540335503401002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709063611 + ... + 709139810.

It is an arithmetic number, because the mean of its divisors is an integer number (2188445458304).

Almost surely, 254033550340100 is an apocalyptic number.

54033550340100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54033550340100 is an abundant number, since it is smaller than the sum of its proper divisors (103534522657788).

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

54033550340100 is a wasteful number, since it uses less digits than its factorization.

54033550340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418203565 (or 1418203558 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 54033550340100 its reverse (104305533045), we get a palindrome (54137855873145).

The spelling of 54033550340100 in words is "fifty-four trillion, thirty-three billion, five hundred fifty million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 6350 7620 9525 12700 19050 38100 1418203421 2836406842 4254610263 5672813684 7091017105 8509220526 14182034210 17018441052 21273051315 28364068420 35455085525 42546102630 70910171050 85092205260 106365256575 141820342100 180111834467 212730513150 360223668934 425461026300 540335503401 720447337868 900559172335 1080671006802 1801118344670 2161342013604 2701677517005 3602236689340 4502795861675 5403355034010 9005591723350 10806710068020 13508387585025 18011183446700 27016775170050 54033550340100