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5301668176 = 247232970969
BaseRepresentation
bin1001111000000000…
…10000100101010000
3111200111000122111121
410330000100211100
541324211340201
62234025052024
7245244302350
oct47400204520
914614018447
105301668176
112280720852
12103b627014
136664c1a7c
1438418ab60
152106949a1
hex13c010950

5301668176 has 80 divisors (see below), whose sum is σ = 12672403200. Its totient is φ = 2098381824.

The previous prime is 5301668167. The next prime is 5301668179. The reversal of 5301668176 is 6718661035.

It is a super-2 number, since 2×53016681762 = 56215370896822333952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301668179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39220 + ... + 110188.

It is an arithmetic number, because the mean of its divisors is an integer number (158405040).

Almost surely, 25301668176 is an apocalyptic number.

5301668176 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 5301668176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336201600).

5301668176 is an abundant number, since it is smaller than the sum of its proper divisors (7370735024).

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

5301668176 is a wasteful number, since it uses less digits than its factorization.

5301668176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71036 (or 71030 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 5301668176 is about 72812.5550712238. Note that the first 3 decimals coincide. The cubic root of 5301668176 is about 1743.6963058007.

The spelling of 5301668176 in words is "five billion, three hundred one million, six hundred sixty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 29 46 56 58 92 112 116 161 184 203 232 322 368 406 464 644 667 812 1288 1334 1624 2576 2668 3248 4669 5336 9338 10672 18676 37352 70969 74704 141938 283876 496783 567752 993566 1135504 1632287 1987132 2058101 3264574 3974264 4116202 6529148 7948528 8232404 11426009 13058296 14406707 16464808 22852018 26116592 28813414 32929616 45704036 47336323 57626828 91408072 94672646 115253656 182816144 189345292 230507312 331354261 378690584 662708522 757381168 1325417044 2650834088 5301668176