Search a number
-
+
5000561101000 = 235317734029461
BaseRepresentation
bin100100011000100100010…
…1010110000100011001000
3122201001022200221000021201
41020301020222300203020
51123412122120213000
614345120454513544
71024164365020123
oct110611052604310
918631280830251
105000561101000
1116587a9416aa3
126891859658b4
132a37213c04aa
141340580c53ba
158a121b0896a
hex48c48ab08c8

5000561101000 has 128 divisors (see below), whose sum is σ = 12559349518560. Its totient is φ = 1856775168000.

The previous prime is 5000561100991. The next prime is 5000561101007. The reversal of 5000561101000 is 1011650005.

It can be written as a sum of positive squares in 16 ways, for example, as 2841529636 + 4997719571364 = 53306^2 + 2235558^2 .

It is a super-2 number, since 2×50005611010002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5000561101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773731 + ... + 3255730.

Almost surely, 25000561101000 is an apocalyptic number.

5000561101000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5000561101000 is an abundant number, since it is smaller than the sum of its proper divisors (7558788417560).

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

5000561101000 is a wasteful number, since it uses less digits than its factorization.

5000561101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029572 (or 4029558 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 5000561101000 its reverse (1011650005), we get a palindrome (5001572751005).

The spelling of 5000561101000 in words is "five trillion, five hundred sixty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 73 85 100 125 136 146 170 200 250 292 340 365 425 500 584 680 730 850 1000 1241 1460 1700 1825 2125 2482 2920 3400 3650 4250 4964 6205 7300 8500 9125 9928 12410 14600 17000 18250 24820 31025 36500 49640 62050 73000 124100 155125 248200 310250 620500 1241000 4029461 8058922 16117844 20147305 32235688 40294610 68500837 80589220 100736525 137001674 161178440 201473050 274003348 294150653 342504185 402946100 503682625 548006696 588301306 685008370 805892200 1007365250 1176602612 1370016740 1470753265 1712520925 2014730500 2353205224 2740033480 2941506530 3425041850 4029461000 5000561101 5883013060 6850083700 7353766325 8562604625 10001122202 11766026120 13700167400 14707532650 17125209250 20002244404 25002805505 29415065300 34250418500 36768831625 40004488808 50005611010 58830130600 68500837000 73537663250 100011222020 125014027525 147075326500 200022444040 250028055050 294150653000 500056110100 625070137625 1000112220200 1250140275250 2500280550500 5000561101000