Search a number
-
+
5577743132 = 2213192614871
BaseRepresentation
bin1010011000111010…
…11001101100011100
3112101201111201010222
411030131121230130
542410400240012
62321250220512
7255136014533
oct51435315434
915351451128
105577743132
112402543a75
1210b7b84738
136ab763a30
143acad331a
15229a29972
hex14c759b1c

5577743132 has 72 divisors (see below), whose sum is σ = 11278465632. Its totient is φ = 2398377600.

The previous prime is 5577743117. The next prime is 5577743141. The reversal of 5577743132 is 2313477755.

It is a happy number.

It is a super-2 number, since 2×55777431322 = 62222436893146338848, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1142657 + ... + 1147527.

It is an arithmetic number, because the mean of its divisors is an integer number (156645356).

Almost surely, 25577743132 is an apocalyptic number.

5577743132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5577743132 is an abundant number, since it is smaller than the sum of its proper divisors (5700722500).

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

5577743132 is a wasteful number, since it uses less digits than its factorization.

5577743132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4966 counting only the distinct ones).

The product of its digits is 617400, while the sum is 44.

The square root of 5577743132 is about 74684.2897268227. The cubic root of 5577743132 is about 1773.4522652661.

The spelling of 5577743132 in words is "five billion, five hundred seventy-seven million, seven hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 13 19 26 38 52 61 76 122 244 247 361 494 722 793 988 1159 1444 1586 2318 3172 4636 4693 4871 9386 9742 15067 18772 19484 22021 30134 44042 60268 63323 88084 92549 126646 185098 253292 286273 297131 370196 572546 594262 1145092 1188524 1203137 1758431 2406274 3516862 3862703 4812548 5645489 7033724 7725406 11290978 15450812 22581956 22859603 45719206 73391357 91438412 107264291 146782714 214528582 293565428 429057164 1394435783 2788871566 5577743132