Search a number
-
+
61441119168 = 26311133476449
BaseRepresentation
bin111001001110001011…
…010001001111000000
312212120221022020121020
4321032023101033000
52001312411303133
644120424225440
74303365616212
oct711613211700
9185527266536
1061441119168
1124069a01240
12baa860b280
135a421a4a20
142d8c02a5b2
1518e901b0b3
hexe4e2d13c0

61441119168 has 224 divisors, whose sum is σ = 191563142400. Its totient is φ = 17134141440.

The previous prime is 61441119163. The next prime is 61441119199. The reversal of 61441119168 is 86191114416.

It is a super-2 number, since 2×614411191682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61441119163) 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, 9524008 + ... + 9530456.

It is an arithmetic number, because the mean of its divisors is an integer number (855192600).

Almost surely, 261441119168 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 61441119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95781571200).

61441119168 is an abundant number, since it is smaller than the sum of its proper divisors (130122023232).

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

61441119168 is a wasteful number, since it uses less digits than its factorization.

61441119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6835 (or 6825 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The spelling of 61441119168 in words is "sixty-one billion, four hundred forty-one million, one hundred nineteen thousand, one hundred sixty-eight".