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3378275240418 = 23213219293199487
BaseRepresentation
bin110001001010010000111…
…001010100100111100010
3102221221220210212111211200
4301022100321110213202
5420322201430143133
611103542550422030
7466033544514441
oct61122071244742
912857823774750
103378275240418
11109279a335711
12466895661916
131b6754358400
14b971bac4d58
155cd23c7b913
hex31290e549e2

3378275240418 has 144 divisors (see below), whose sum is σ = 8371625633280. Its totient is φ = 981394517376.

The previous prime is 3378275240299. The next prime is 3378275240423. The reversal of 3378275240418 is 8140425728733.

It is a happy number.

3378275240418 is a `hidden beast` number, since 3 + 3 + 78 + 2 + 7 + 524 + 0 + 41 + 8 = 666.

It is a super-2 number, since 2×33782752404182 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16835071 + ... + 17034557.

It is an arithmetic number, because the mean of its divisors is an integer number (58136289120).

Almost surely, 23378275240418 is an apocalyptic number.

3378275240418 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378275240418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185812816640).

3378275240418 is an abundant number, since it is smaller than the sum of its proper divisors (4993350392862).

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

3378275240418 is a wasteful number, since it uses less digits than its factorization.

3378275240418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199833 (or 199817 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3378275240418 in words is "three trillion, three hundred seventy-eight billion, two hundred seventy-five million, two hundred forty thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 169 171 234 247 293 338 342 494 507 586 741 879 1014 1482 1521 1758 2223 2637 3042 3211 3809 4446 5274 5567 6422 7618 9633 11134 11427 16701 19266 22854 28899 33402 34281 49517 50103 57798 68562 72371 99034 100206 144742 148551 199487 217113 297102 398974 434226 445653 598461 651339 891306 940823 1196922 1302678 1795383 1881646 2593331 2822469 3590766 3790253 5186662 5644938 7580506 7779993 8467407 11370759 15559986 16934814 22741518 23339979 33713303 34112277 46679958 49273289 58449691 67426606 68224554 98546578 101139909 116899382 147819867 175349073 202279818 295639734 303419727 350698146 443459601 526047219 606839454 640552757 759845983 886919202 1052094438 1110544129 1281105514 1519691966 1921658271 2221088258 2279537949 3331632387 3843316542 4559075898 5764974813 6663264774 6838613847 9877997779 9994897161 11529949626 13677227694 14437073677 19755995558 19989794322 28874147354 29633993337 43311221031 59267986674 86622442062 88901980011 129933663093 177803960022 187681957801 259867326186 375363915602 563045873403 1126091746806 1689137620209 3378275240418