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5504053246100 = 2252892814095381
BaseRepresentation
bin101000000011000001100…
…1000110111100010010100
3201111011220221020002000122
41100012003020313202110
51210134300112333400
615412305510531112
71105440366442523
oct120060310674224
921434827202018
105504053246100
11183228a626822
1274a880366a98
1330c050b874c6
1415057d0204ba
159828e0e6685
hex50183237894

5504053246100 has 144 divisors (see below), whose sum is σ = 12152871385200. Its totient is φ = 2163431424000.

The previous prime is 5504053246067. The next prime is 5504053246121. The reversal of 5504053246100 is 16423504055.

It can be written as a sum of positive squares in 24 ways, for example, as 3100120832656 + 2403932413444 = 1760716^2 + 1550462^2 .

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, 1022865410 + ... + 1022870790.

It is an arithmetic number, because the mean of its divisors is an integer number (84394940175).

Almost surely, 25504053246100 is an apocalyptic number.

5504053246100 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 5504053246100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076435692600).

5504053246100 is an abundant number, since it is smaller than the sum of its proper divisors (6648818139100).

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

5504053246100 is a wasteful number, since it uses less digits than its factorization.

5504053246100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 5504053246100 in words is "five trillion, five hundred four billion, fifty-three million, two hundred forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 281 356 409 445 562 818 890 1124 1405 1636 1780 2045 2225 2810 4090 4450 5381 5620 7025 8180 8900 10225 10762 14050 20450 21524 25009 26905 28100 36401 40900 50018 53810 72802 100036 107620 114929 125045 134525 145604 182005 229858 250090 269050 364010 459716 478909 500180 538100 574645 625225 728020 910025 957818 1149290 1250450 1512061 1820050 1915636 2200829 2298580 2394545 2500900 2873225 3024122 3640100 4401658 4789090 5746450 6048244 7560305 8803316 9578180 10228681 11004145 11492900 11972725 15120610 20457362 22008290 23945450 30241220 37801525 40914724 44016580 47890900 51143405 55020725 75603050 102286810 110041450 134573429 151206100 195873781 204573620 220082900 255717025 269146858 391747562 511434050 538293716 618432949 672867145 783495124 979368905 1022868100 1236865898 1345734290 1958737810 2473731796 2691468580 3092164745 3364335725 3917475620 4896844525 6184329490 6728671450 9793689050 12368658980 13457342900 15460823725 19587378100 30921647450 55040532461 61843294900 110081064922 220162129844 275202662305 550405324610 1100810649220 1376013311525 2752026623050 5504053246100