Search a number
-
+
47361370100 = 225211193223087
BaseRepresentation
bin101100000110111101…
…010010011111110100
311112020200202212212112
4230012331102133310
51233444002320400
633431342310152
73264442001132
oct540675223764
9145220685775
1047361370100
11190a4293390
129219288358
13460a1c2a65
142414114752
151372dd3835
hexb06f527f4

47361370100 has 72 divisors (see below), whose sum is σ = 112698703488. Its totient is φ = 17133004800.

The previous prime is 47361370093. The next prime is 47361370109. The reversal of 47361370100 is 107316374.

It is a super-3 number, since 3×473613701003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47361370109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100757 + ... + 323843.

Almost surely, 247361370100 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 47361370100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56349351744).

47361370100 is an abundant number, since it is smaller than the sum of its proper divisors (65337333388).

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

47361370100 is a wasteful number, since it uses less digits than its factorization.

47361370100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223305 (or 223298 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

Adding to 47361370100 its reverse (107316374), we get a palindrome (47468686474).

The spelling of 47361370100 in words is "forty-seven billion, three hundred sixty-one million, three hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 193 220 275 386 550 772 965 1100 1930 2123 3860 4246 4825 8492 9650 10615 19300 21230 42460 53075 106150 212300 223087 446174 892348 1115435 2230870 2453957 4461740 4907914 5577175 9815828 11154350 12269785 22308700 24539570 43055791 49079140 61348925 86111582 122697850 172223164 215278955 245395700 430557910 473613701 861115820 947227402 1076394775 1894454804 2152789550 2368068505 4305579100 4736137010 9472274020 11840342525 23680685050 47361370100