Search a number
-
+
10618117224 = 23311132331719
BaseRepresentation
bin10011110001110001…
…11001110001101000
31000101222212020112220
421320320321301220
5133221214222344
64513343034040
7524061335661
oct117070716150
930358766486
1010618117224
1145597176a0
122083b9b920
131002a8a500
1472a2a4368
154222a8c19
hex278e39c68

10618117224 has 192 divisors, whose sum is σ = 31495910400. Its totient is φ = 2957011200.

The previous prime is 10618117219. The next prime is 10618117259. The reversal of 10618117224 is 42271181601.

10618117224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106181172242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14767537 + ... + 14768255.

It is an arithmetic number, because the mean of its divisors is an integer number (164041200).

Almost surely, 210618117224 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 10618117224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747955200).

10618117224 is an abundant number, since it is smaller than the sum of its proper divisors (20877793176).

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

10618117224 is a wasteful number, since it uses less digits than its factorization.

10618117224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

Adding to 10618117224 its reverse (42271181601), we get a palindrome (52889298825).

The spelling of 10618117224 in words is "ten billion, six hundred eighteen million, one hundred seventeen thousand, two hundred twenty-four".