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130520348176 = 2418124992
BaseRepresentation
bin111100110001110011…
…1100111011000010000
3110110220012001200010111
41321203213213120100
54114301202120201
6135543224011104
712300262440301
oct1714347473020
9413805050114
10130520348176
1150398374449
1221367000a94
13c40093266a
14646263a7a8
1535dd89ab51
hex1e639e7610

130520348176 has 45 divisors (see below), whose sum is σ = 254798654733. Its totient is φ = 64769561280.

The previous prime is 130520348087. The next prime is 130520348191. The reversal of 130520348176 is 671843025031.

The square root of 130520348176 is 361276.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1438229776 + 129082118400 = 37924^2 + 359280^2 .

It is a super-2 number, since 2×1305203481762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 261563575 + ... + 261564073.

Almost surely, 2130520348176 is an apocalyptic number.

130520348176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130520348176 is the 361276-th square number.

It is an amenable number.

130520348176 is a deficient number, since it is larger than the sum of its proper divisors (124278306557).

130520348176 is an frugal number, since it uses more digits than its factorization.

130520348176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 130520348176 in words is "one hundred thirty billion, five hundred twenty million, three hundred forty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 181 362 499 724 998 1448 1996 2896 3992 7984 32761 65522 90319 131044 180638 249001 262088 361276 498002 524176 722552 996004 1445104 1992008 3984016 16347739 32695478 45069181 65390956 90138362 130781912 180276724 261563824 360553448 721106896 8157521761 16315043522 32630087044 65260174088 130520348176