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3341664828468 = 22323112746350923
BaseRepresentation
bin110000101000001010101…
…111101011110000110100
3102211110102100220220000100
4300220022233223300310
5414222212144002333
611035050054314100
7463266366244521
oct60501257536064
912743370826010
103341664828468
11107921275130a
1245b778958930
131b316b5c4765
14b7a47774148
155bdceb42213
hex30a0abebc34

3341664828468 has 144 divisors (see below), whose sum is σ = 8807280541696. Its totient is φ = 1067137727040.

The previous prime is 3341664828461. The next prime is 3341664828479. The reversal of 3341664828468 is 8648284661433.

3341664828468 is a `hidden beast` number, since 3 + 3 + 4 + 16 + 6 + 482 + 84 + 68 = 666.

It is a super-2 number, since 2×33416648284682 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341664828461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65596455 + ... + 65647377.

Almost surely, 23341664828468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341664828468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403640270848).

3341664828468 is an abundant number, since it is smaller than the sum of its proper divisors (5465615713228).

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

3341664828468 is a wasteful number, since it uses less digits than its factorization.

3341664828468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51554 (or 51549 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 3341664828468 in words is "three trillion, three hundred forty-one billion, six hundred sixty-four million, eight hundred twenty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 127 186 254 279 372 381 463 508 558 762 926 1116 1143 1389 1524 1852 2286 2778 3937 4167 4572 5556 7874 8334 11811 14353 15748 16668 23622 28706 35433 43059 47244 50923 57412 58801 70866 86118 101846 117602 129177 141732 152769 172236 176403 203692 235204 258354 305538 352806 458307 516708 529209 611076 705612 916614 1058418 1578613 1822831 1833228 2116836 3157226 3645662 4735839 5468493 6314452 6467221 7291324 9471678 10936986 12934442 14207517 16405479 18943356 19401663 21873972 23577349 25868884 28415034 32810958 38803326 47154698 56830068 58204989 65621916 70732047 77606652 94309396 116409978 141464094 200483851 212196141 232819956 282928188 400967702 424392282 601451553 730897819 801935404 848784564 1202903106 1461795638 1804354659 2192693457 2405806212 2923591276 2994323323 3608709318 4385386914 5988646646 6578080371 7217418636 8770773828 8982969969 11977293292 13156160742 17965939938 26312321484 26948909907 35931879876 53897819814 92824023013 107795639628 185648046026 278472069039 371296092052 556944138078 835416207117 1113888276156 1670832414234 3341664828468