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131684797456 = 2425723532
BaseRepresentation
bin111101010100100000…
…1101000110000010000
3110120220100011211020121
41322221001220300100
54124142302004311
6140254542120024
712341162211202
oct1725101506020
9416810154217
10131684797456
11509356a9423
1221630b80014
13c557c5a4c4
146533154772
15365ac12b71
hex1ea9068c10

131684797456 has 45 divisors (see below), whose sum is σ = 256863570871. Its totient is φ = 65400406016.

The previous prime is 131684797451. The next prime is 131684797457. The reversal of 131684797456 is 654797486131.

It is a happy number.

The square root of 131684797456 is 362884.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37901859856 + 93782937600 = 194684^2 + 306240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131684797394 and 131684797403.

It is not an unprimeable number, because it can be changed into a prime (131684797451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 373044576 + ... + 373044928.

Almost surely, 2131684797456 is an apocalyptic number.

131684797456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131684797456 is the 362884-th square number.

It is an amenable number.

131684797456 is a deficient number, since it is larger than the sum of its proper divisors (125178773415).

131684797456 is an frugal number, since it uses more digits than its factorization.

131684797456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 612 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 61.

The spelling of 131684797456 in words is "one hundred thirty-one billion, six hundred eighty-four million, seven hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 257 353 514 706 1028 1412 2056 2824 4112 5648 66049 90721 124609 132098 181442 249218 264196 362884 498436 528392 725768 996872 1056784 1451536 1993744 23315297 32024513 46630594 64049026 93261188 128098052 186522376 256196104 373044752 512392208 8230299841 16460599682 32921199364 65842398728 131684797456