Search a number
-
+
130330264896 = 2634131933913
BaseRepresentation
bin111100101100001001…
…0100000010101000000
3110110101221101102220000
41321120102200111000
54113404021434041
6135512313520000
712262463654526
oct1713022402500
9413357342800
10130330264896
1150300045027
1221313413000
13c3a043b050
1464452ba316
1535cbd4ebb6
hex1e584a0540

130330264896 has 140 divisors (see below), whose sum is σ = 416058390132. Its totient is φ = 40101599232.

The previous prime is 130330264891. The next prime is 130330264903. The reversal of 130330264896 is 698462033031.

130330264896 is a `hidden beast` number, since 1 + 303 + 3 + 0 + 264 + 89 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69518704896 + 60811560000 = 263664^2 + 246600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130330264891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 899565 + ... + 1034348.

Almost surely, 2130330264896 is an apocalyptic number.

130330264896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130330264896 is an abundant number, since it is smaller than the sum of its proper divisors (285728125236).

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

130330264896 is a wasteful number, since it uses less digits than its factorization.

130330264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933950 (or 1933931 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 130330264896 in words is "one hundred thirty billion, three hundred thirty million, two hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 1933913 3867826 5801739 7735652 11603478 15471304 17405217 23206956 25140869 30942608 34810434 46413912 50281738 52215651 61885216 69620868 75422607 92827824 100563476 104431302 123770432 139241736 150845214 156646953 185655648 201126952 208862604 226267821 278483472 301690428 313293906 371311296 402253904 417725208 452535642 556966944 603380856 626587812 678803463 804507808 835450416 905071284 1113933888 1206761712 1253175624 1357606926 1609015616 1670900832 1810142568 2036410389 2413523424 2506351248 2715213852 3341801664 3620285136 4072820778 4827046848 5012702496 5430427704 7240570272 8145641556 10025404992 10860855408 14481140544 16291283112 21721710816 32582566224 43443421632 65165132448 130330264896