Search a number
-
+
61011050500 = 22532773731181
BaseRepresentation
bin111000110100100010…
…101100000000000100
312211110222001111022001
4320310202230000010
51444422312104000
644010022315044
74256624241541
oct706442540004
9184428044261
1061011050500
1123969169294
12b9a8588a84
1359a406611a
142d4ac79bc8
1518c13b846a
hexe348ac004

61011050500 has 96 divisors (see below), whose sum is σ = 134201235168. Its totient is φ = 24230592000.

The previous prime is 61011050417. The next prime is 61011050501. The reversal of 61011050500 is 505011016.

It can be written as a sum of positive squares in 16 ways, for example, as 37933794756 + 23077255744 = 194766^2 + 151912^2 .

It is a super-2 number, since 2×610110505002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61011050501) 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, 51659910 + ... + 51661090.

It is an arithmetic number, because the mean of its divisors is an integer number (1397929533).

Almost surely, 261011050500 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 61011050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67100617584).

61011050500 is an abundant number, since it is smaller than the sum of its proper divisors (73190184668).

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

61011050500 is a wasteful number, since it uses less digits than its factorization.

61011050500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1838 counting only the distinct ones).

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

Adding to 61011050500 its reverse (505011016), we get a palindrome (61516061516).

The spelling of 61011050500 in words is "sixty-one billion, eleven million, fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 277 373 500 554 746 1108 1181 1385 1492 1865 2362 2770 3730 4724 5540 5905 6925 7460 9325 11810 13850 18650 23620 27700 29525 34625 37300 46625 59050 69250 93250 103321 118100 138500 147625 186500 206642 295250 327137 413284 440513 516605 590500 654274 881026 1033210 1308548 1635685 1762052 2066420 2202565 2583025 3271370 4405130 5166050 6542740 8178425 8810260 10332100 11012825 12915125 16356850 22025650 25830250 32713700 40892125 44051300 51660500 55064125 81784250 110128250 122022101 163568500 220256500 244044202 488088404 610110505 1220221010 2440442020 3050552525 6101105050 12202210100 15252762625 30505525250 61011050500