Search a number
-
+
5171662848 = 21231138261
BaseRepresentation
bin1001101000100000…
…10101000000000000
3111100102101200201110
410310100111000000
541042421202343
62213102403320
7242105260152
oct46420250000
914312350643
105171662848
1122142a5930
121003b90540
136455a3a41
14370bc8ad2
15204064833
hex134415000

5171662848 has 104 divisors (see below), whose sum is σ = 15043394016. Its totient is φ = 1567129600.

The previous prime is 5171662843. The next prime is 5171662919. The reversal of 5171662848 is 8482661715.

It is a super-2 number, since 2×51716628482 = 53492193226766942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5171662797 and 5171662806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171662843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116038 + ... + 154298.

Almost surely, 25171662848 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 5171662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521697008).

5171662848 is an abundant number, since it is smaller than the sum of its proper divisors (9871731168).

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

5171662848 is a wasteful number, since it uses less digits than its factorization.

5171662848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38299 (or 38277 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 5171662848 is about 71914.2742993350. The cubic root of 5171662848 is about 1729.3254576741.

The spelling of 5171662848 in words is "five billion, one hundred seventy-one million, six hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8448 11264 12288 16896 22528 33792 38261 45056 67584 76522 114783 135168 153044 229566 306088 420871 459132 612176 841742 918264 1224352 1262613 1683484 1836528 2448704 2525226 3366968 3673056 4897408 5050452 6733936 7346112 9794816 10100904 13467872 14692224 19589632 20201808 26935744 29384448 39179264 40403616 53871488 58768896 78358528 80807232 107742976 117537792 156717056 161614464 215485952 235075584 323228928 430971904 470151168 646457856 861943808 1292915712 1723887616 2585831424 5171662848