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130424634496 = 2713241325229
BaseRepresentation
bin111100101110111101…
…0011111110010000000
3110110122111221220122101
41321131322133302000
54114102201300441
6135525524320144
712265021046542
oct1713572376200
9413574856571
10130424634496
1150349340332
122133ab43054
13c3b6b5cb50
146453a43692
1535d5291231
hex1e5de9fc80

130424634496 has 64 divisors (see below), whose sum is σ = 280979206200. Its totient is φ = 59946024960.

The previous prime is 130424634479. The next prime is 130424634541. The reversal of 130424634496 is 694436424031.

It can be written as a sum of positive squares in 4 ways, for example, as 80724174400 + 49700460096 = 284120^2 + 222936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238410 + ... + 563638.

Almost surely, 2130424634496 is an apocalyptic number.

130424634496 is a gapful number since it is divisible by the number (16) 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 130424634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140489603100).

130424634496 is an abundant number, since it is smaller than the sum of its proper divisors (150554571704).

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

130424634496 is a wasteful number, since it uses less digits than its factorization.

130424634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325497 (or 325485 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 130424634496 in words is "one hundred thirty billion, four hundred twenty-four million, six hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 241 416 482 832 964 1664 1928 3133 3856 6266 7712 12532 15424 25064 30848 50128 100256 200512 325229 401024 650458 1300916 2601832 4227977 5203664 8455954 10407328 16911908 20814656 33823816 41629312 67647632 78380189 135295264 156760378 270590528 313520756 541181056 627041512 1018942457 1254083024 2037884914 2508166048 4075769828 5016332096 8151539656 10032664192 16303079312 32606158624 65212317248 130424634496