Search a number
-
+
61060001000 = 2353241253361
BaseRepresentation
bin111000110111011101…
…011010110011101000
312211121101011102202112
4320313131122303220
52000022330013000
644014531421452
74261060305425
oct706735326350
9184541142675
1061060001000
1123993862549
12ba00a54888
1359b124490b
142d5357cd4c
1518c5837235
hexe3775ace8

61060001000 has 64 divisors (see below), whose sum is σ = 143473833360. Its totient is φ = 24322560000.

The previous prime is 61060000961. The next prime is 61060001021. The reversal of 61060001000 is 10006016.

It can be written as a sum of positive squares in 8 ways, for example, as 1585473124 + 59474527876 = 39818^2 + 243874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114320 + ... + 367680.

Almost surely, 261060001000 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 61060001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71736916680).

61060001000 is an abundant number, since it is smaller than the sum of its proper divisors (82413832360).

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

61060001000 is a wasteful number, since it uses less digits than its factorization.

61060001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253623 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 61060001000 its reverse (10006016), we get a palindrome (61070007016).

The spelling of 61060001000 in words is "sixty-one billion, sixty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 964 1000 1205 1928 2410 4820 6025 9640 12050 24100 30125 48200 60250 120500 241000 253361 506722 1013444 1266805 2026888 2533610 5067220 6334025 10134440 12668050 25336100 31670125 50672200 61060001 63340250 122120002 126680500 244240004 253361000 305300005 488480008 610600010 1221200020 1526500025 2442400040 3053000050 6106000100 7632500125 12212000200 15265000250 30530000500 61060001000