Search a number
-
+
130522955892 = 223731103486641
BaseRepresentation
bin111100110001111000…
…1100100000001110100
3110110220100222011020120
41321203301210001310
54114302334042032
6135543355531540
712300323551050
oct1714361440164
9413810864216
10130522955892
115039989568a
1221367a59bb0
13c4013365a4
146462b18c60
1535ddc1362c
hex1e63c64074

130522955892 has 96 divisors (see below), whose sum is σ = 362777985024. Its totient is φ = 35738841600.

The previous prime is 130522955887. The next prime is 130522955903. The reversal of 130522955892 is 298559225031.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24892 + ... + 511532.

It is an arithmetic number, because the mean of its divisors is an integer number (3778937344).

Almost surely, 2130522955892 is an apocalyptic number.

130522955892 is a gapful number since it is divisible by the number (12) 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 130522955892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181388992512).

130522955892 is an abundant number, since it is smaller than the sum of its proper divisors (232255029132).

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

130522955892 is a wasteful number, since it uses less digits than its factorization.

130522955892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486789 (or 486787 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 130522955892 in words is "one hundred thirty billion, five hundred twenty-two million, nine hundred fifty-five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 103 124 186 206 217 309 372 412 434 618 651 721 868 1236 1302 1442 2163 2604 2884 3193 4326 6386 8652 9579 12772 19158 22351 38316 44702 67053 89404 134106 268212 486641 973282 1459923 1946564 2919846 3406487 5839692 6812974 10219461 13625948 15085871 20438922 30171742 40877844 45257613 50124023 60343484 90515226 100248046 105601097 150372069 181030452 200496092 211202194 300744138 316803291 350868161 422404388 601488276 633606582 701736322 1052604483 1267213164 1403472644 1553844713 2105208966 3107689426 4210417932 4661534139 6215378852 9323068278 10876912991 18646136556 21753825982 32630738973 43507651964 65261477946 130522955892