Search a number
-
+
264306626130162 = 237115333132610857
BaseRepresentation
bin111100000110001010101110…
…100011111111000011110010
31021122211110121012212121000010
4330012022232203333003302
5234120344432242131122
62334044442100035350
7106446344405466540
oct7406125643770362
91248743535777003
10264306626130162
11772418a0a99a50
122578848a392b56
13b463014477775
14493a71a836d90
15208534dd73e0c
hexf062ae8ff0f2

264306626130162 has 128 divisors (see below), whose sum is σ = 673513876482048. Its totient is φ = 67152274675200.

The previous prime is 264306626130133. The next prime is 264306626130193. The reversal of 264306626130162 is 261031626603462.

It is a super-2 number, since 2×2643066261301622 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8200563 + ... + 24410294.

It is an arithmetic number, because the mean of its divisors is an integer number (5261827160016).

Almost surely, 2264306626130162 is an apocalyptic number.

264306626130162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

264306626130162 is an abundant number, since it is smaller than the sum of its proper divisors (409207250351886).

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

264306626130162 is a wasteful number, since it uses less digits than its factorization.

264306626130162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32611264.

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 264306626130162 in words is "two hundred sixty-four trillion, three hundred six billion, six hundred twenty-six million, one hundred thirty thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 331 371 462 583 662 742 993 1113 1166 1749 1986 2226 2317 3498 3641 4081 4634 6951 7282 8162 10923 12243 13902 17543 21846 24486 25487 35086 50974 52629 76461 105258 122801 152922 192973 245602 368403 385946 578919 736806 1157838 1350811 2701622 4052433 8104866 32610857 65221714 97832571 195665142 228275999 358719427 456551998 684827997 717438854 1076158281 1369655994 1728375421 2152316562 2511035989 3456750842 5022071978 5185126263 7533107967 10370252526 10794193667 12098627947 15066215934 19012129631 21588387334 24197255894 32382581001 36295883841 38024259262 57036388893 64765162002 72591767682 75559355669 114072777786 118736130337 133084907417 151118711338 226678067007 237472260674 266169814834 356208391011 399254722251 453356134014 572092264351 712416782022 798509444502 831152912359 1144184528702 1662305824718 1716276793053 2493458737077 3432553586106 4004645850457 4986917474154 6293014907861 8009291700914 12013937551371 12586029815722 18879044723583 24027875102742 37758089447166 44051104355027 88102208710054 132153313065081 264306626130162