Search a number
-
+
1015566155060 = 2252343946110909
BaseRepresentation
bin11101100011101000111…
…01011011110100110100
310121002100112220000220112
432301310131123310310
5113114334413430220
62054313351122152
7133241450613212
oct16616435336464
93532315800815
101015566155060
11361776689656
121449a7073358
13749c91c0392
1437221923cb2
151b63d1105c5
hexec7475bd34

1015566155060 has 96 divisors (see below), whose sum is σ = 2235527078400. Its totient is φ = 386802915840.

The previous prime is 1015566155057. The next prime is 1015566155113. The reversal of 1015566155060 is 605516655101.

It is a junction number, because it is equal to n+sod(n) for n = 1015566154999 and 1015566155017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93088886 + ... + 93099794.

It is an arithmetic number, because the mean of its divisors is an integer number (23286740400).

Almost surely, 21015566155060 is an apocalyptic number.

1015566155060 is a gapful number since it is divisible by the number (10) 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 1015566155060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117763539200).

1015566155060 is an abundant number, since it is smaller than the sum of its proper divisors (1219960923340).

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

1015566155060 is a wasteful number, since it uses less digits than its factorization.

1015566155060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11841 (or 11839 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 1015566155060 in words is "one trillion, fifteen billion, five hundred sixty-six million, one hundred fifty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 439 460 461 878 922 1756 1844 2195 2305 4390 4610 8780 9220 10097 10603 10909 20194 21206 21818 40388 42412 43636 50485 53015 54545 100970 106030 109090 201940 202379 212060 218180 250907 404758 501814 809516 1003628 1011895 1254535 2023790 2509070 4047580 4654717 4789051 5018140 5029049 9309434 9578102 10058098 18618868 19156204 20116196 23273585 23945255 25145245 46547170 47890510 50290490 93094340 95781020 100580980 110148173 115668127 220296346 231336254 440592692 462672508 550740865 578340635 1101481730 1156681270 2202963460 2207752511 2313362540 4415505022 8831010044 11038762555 22077525110 44155050220 50778307753 101556615506 203113231012 253891538765 507783077530 1015566155060