Search a number
-
+
11533032042246 = 233111319585713421
BaseRepresentation
bin1010011111010011111001…
…0001110010111100000110
31111211112202211110222222000
42213310332101302330012
53002424122200322441
640310111330050130
72300143166610111
oct247647621627406
944745684428860
1011533032042246
113747149a16680
121363219119946
13658738b59b50
142bc2b778b578
151500021d92b6
hexa7d3e472f06

11533032042246 has 256 divisors, whose sum is σ = 31702033843200. Its totient is φ = 3055482777600.

The previous prime is 11533032042229. The next prime is 11533032042263. The reversal of 11533032042246 is 64224023033511.

11533032042246 is a `hidden beast` number, since 1 + 1 + 53 + 3 + 0 + 320 + 42 + 246 = 666.

It is an interprime number because it is at equal distance from previous prime (11533032042229) and next prime (11533032042263).

It is a self number, because there is not a number n which added to its sum of digits gives 11533032042246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 859320616 + ... + 859334036.

It is an arithmetic number, because the mean of its divisors is an integer number (123836069700).

Almost surely, 211533032042246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11533032042246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851016921600).

11533032042246 is an abundant number, since it is smaller than the sum of its proper divisors (20169001800954).

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

11533032042246 is a wasteful number, since it uses less digits than its factorization.

11533032042246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19332 (or 19326 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 11533032042246 its reverse (64224023033511), we get a palindrome (75757055075757).

The spelling of 11533032042246 in words is "eleven trillion, five hundred thirty-three billion, thirty-two million, forty-two thousand, two hundred forty-six".