Search a number
-
+
411133425552450 = 2335212591999121007
BaseRepresentation
bin101110101111011000111010…
…1110010010000110001000010
31222220200222020022122010122000
41131132301311302100301002
5412342002223420134300
64014224031023124430
7152412260360453466
oct13536616562206102
91886628208563560
10411133425552450
11109aaa785552a17
123a1404b4443716
131485393c447c33
147374d6d1c84a6
15327e7cd24ec00
hex175ec75c90c42

411133425552450 has 192 divisors, whose sum is σ = 1134377395200000. Its totient is φ = 109492792165440.

The previous prime is 411133425552433. The next prime is 411133425552607. The reversal of 411133425552450 is 54255524331114.

411133425552450 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 3 + 3 + 42 + 5 + 552 + 4 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 411133425552396 and 411133425552405.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3397539847 + ... + 3397660853.

It is an arithmetic number, because the mean of its divisors is an integer number (5908215600000).

Almost surely, 2411133425552450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411133425552450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567188697600000).

411133425552450 is an abundant number, since it is smaller than the sum of its proper divisors (723243969647550).

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

411133425552450 is a wasteful number, since it uses less digits than its factorization.

411133425552450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124286 (or 124275 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 411133425552450 its reverse (54255524331114), we get a palindrome (465388949883564).

The spelling of 411133425552450 in words is "four hundred eleven trillion, one hundred thirty-three billion, four hundred twenty-five million, five hundred fifty-two thousand, four hundred fifty".