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545241434100 = 2235211538730671
BaseRepresentation
bin1111110111100101110…
…11000000011111110100
31221010100210221200121220
413323302323000133310
532413123301342400
61054251440110340
754251406502206
oct7736273003764
91833323850556
10545241434100
111a0265636560
12898083053b0
133c55409271c
141c56597c776
15e2b28627a0
hex7ef2ec07f4

545241434100 has 144 divisors (see below), whose sum is σ = 1721355826176. Its totient is φ = 132150896000.

The previous prime is 545241434063. The next prime is 545241434113. The reversal of 545241434100 is 1434142545.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17761765 + ... + 17792435.

It is an arithmetic number, because the mean of its divisors is an integer number (11953859904).

Almost surely, 2545241434100 is an apocalyptic number.

545241434100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545241434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860677913088).

545241434100 is an abundant number, since it is smaller than the sum of its proper divisors (1176114392076).

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

545241434100 is a wasteful number, since it uses less digits than its factorization.

545241434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36086 (or 36079 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 545241434100 its reverse (1434142545), we get a palindrome (546675576645).

The spelling of 545241434100 in words is "five hundred forty-five billion, two hundred forty-one million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 5387 10774 16161 21548 26935 30671 32322 53870 59257 61342 64644 80805 92013 107740 118514 122684 134675 153355 161610 177771 184026 237028 269350 296285 306710 323220 337381 355542 368052 404025 460065 538700 592570 613420 674762 711084 766775 808050 888855 920130 1012143 1185140 1349524 1481425 1533550 1616100 1686905 1777710 1840260 2024286 2300325 2962850 3067100 3373810 3555420 4048572 4444275 4600650 5060715 5925700 6747620 8434525 8888550 9201300 10121430 16869050 17777100 20242860 25303575 33738100 50607150 101214300 165224677 330449354 495674031 660898708 826123385 991348062 1652246770 1817471447 1982696124 2478370155 3304493540 3634942894 4130616925 4956740310 5452414341 7269885788 8261233850 9087357235 9913480620 10904828682 12391850775 16522467700 18174714470 21809657364 24783701550 27262071705 36349428940 45436786175 49567403100 54524143410 90873572350 109048286820 136310358525 181747144700 272620717050 545241434100