Search a number
-
+
55561010600048 = 2419373647757327
BaseRepresentation
bin11001010001000010011100…
…10011001101100001110000
321021201120200100200201012012
430220201032103031201300
524240302422203200143
6314100213110022052
714463102431540312
oct1450411623154160
9237646610621165
1055561010600048
1116781324013958
12629411a047928
1325004c4871085
14da124ad737b2
156654092de418
hex32884e4cd870

55561010600048 has 80 divisors (see below), whose sum is σ = 113794772382720. Its totient is φ = 26207211702528.

The previous prime is 55561010600023. The next prime is 55561010600093. The reversal of 55561010600048 is 84000601016555.

It is a junction number, because it is equal to n+sod(n) for n = 55561010599978 and 55561010600014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72985961 + ... + 73743287.

It is an arithmetic number, because the mean of its divisors is an integer number (1422434654784).

Almost surely, 255561010600048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55561010600048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56897386191360).

55561010600048 is an abundant number, since it is smaller than the sum of its proper divisors (58233761782672).

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

55561010600048 is a wasteful number, since it uses less digits than its factorization.

55561010600048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758374 (or 758368 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 55561010600048 in words is "fifty-five trillion, five hundred sixty-one billion, ten million, six hundred thousand, forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 373 647 746 1294 1492 2588 2984 5176 5968 7087 10352 12293 14174 24586 28348 49172 56696 98344 113392 196688 241331 482662 757327 965324 1514654 1930648 3029308 3861296 4585289 6058616 9170578 12117232 14389213 18341156 28778426 36682312 57556852 73364624 115113704 230227408 282482971 489990569 564965942 979981138 1129931884 1959962276 2259863768 3919924552 4519727536 5367176449 7839849104 9309820811 10734352898 18619641622 21468705796 37239283244 42937411592 74478566488 85874823184 148957132976 182766482237 365532964474 731065928948 1462131857896 2924263715792 3472563162503 6945126325006 13890252650012 27780505300024 55561010600048