Search a number
-
+
5532124136 = 2371137324077
BaseRepresentation
bin1010010011011110…
…11000001111101000
3112021112200000122112
411021233120033220
542312210433021
62312540341452
7254043164540
oct51157301750
915245600575
105532124136
112389815820
1210a4844888
136a2180746
143a6a1a320
15225a17d5b
hex149bd83e8

5532124136 has 64 divisors (see below), whose sum is σ = 12967447680. Its totient is φ = 2149505280.

The previous prime is 5532124133. The next prime is 5532124141. The reversal of 5532124136 is 6314212355.

It is a happy number.

It is a super-2 number, since 2×55321241362 = 61208794912227492992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5532124133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 217730 + ... + 241806.

It is an arithmetic number, because the mean of its divisors is an integer number (202616370).

Almost surely, 25532124136 is an apocalyptic number.

5532124136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5532124136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483723840).

5532124136 is an abundant number, since it is smaller than the sum of its proper divisors (7435323544).

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

5532124136 is a wasteful number, since it uses less digits than its factorization.

5532124136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24474 (or 24470 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 5532124136 is about 74378.2504230908. The cubic root of 5532124136 is about 1768.6041466033.

The spelling of 5532124136 in words is "five billion, five hundred thirty-two million, one hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 373 616 746 1492 2611 2984 4103 5222 8206 10444 16412 20888 24077 28721 32824 48154 57442 96308 114884 168539 192616 229768 264847 337078 529694 674156 1059388 1348312 1853929 2118776 3707858 7415716 8980721 14831432 17961442 35922884 62865047 71845768 98787931 125730094 197575862 251460188 395151724 502920376 691515517 790303448 1383031034 2766062068 5532124136