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6666829340796 = 223223292711024523
BaseRepresentation
bin110000100000011110111…
…1111101010000001111100
3212121100020210120212111200
41201000331333222001330
51333212131302401141
622102411002015500
71255443150250362
oct141007577520174
925540223525450
106666829340796
1121404283a4909
128b80ab7a7590
133948aa59a031
1419096793b632
15b8645db1ab6
hex6103dfea07c

6666829340796 has 144 divisors (see below), whose sum is σ = 18258492994560. Its totient is φ = 2044781988480.

The previous prime is 6666829340779. The next prime is 6666829340917. The reversal of 6666829340796 is 6970439286666.

It is a super-2 number, since 2×66668293407962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5994991 + ... + 7019513.

It is an arithmetic number, because the mean of its divisors is an integer number (126795090240).

Almost surely, 26666829340796 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 6666829340796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129246497280).

6666829340796 is an abundant number, since it is smaller than the sum of its proper divisors (11591663653764).

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

6666829340796 is a wasteful number, since it uses less digits than its factorization.

6666829340796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024856 (or 1024851 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 6666829340796 in words is "six trillion, six hundred sixty-six billion, eight hundred twenty-nine million, three hundred forty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 271 276 348 414 522 542 667 813 828 1044 1084 1334 1626 2001 2439 2668 3252 4002 4878 6003 6233 7859 8004 9756 12006 12466 15718 18699 23577 24012 24932 31436 37398 47154 56097 70731 74796 94308 112194 141462 180757 224388 282924 361514 542271 723028 1024523 1084542 1626813 2049046 2169084 3073569 3253626 4098092 6147138 6507252 9220707 12294276 18441414 23564029 29711167 36882828 47128058 59422334 70692087 89133501 94256116 118844668 141384174 178267002 212076261 267400503 277645733 282768348 356534004 424152522 534801006 555291466 683356841 832937199 848305044 1069602012 1110582932 1366713682 1665874398 2050070523 2498811597 2733427364 3331748796 4100141046 4997623194 6150211569 6385851859 8051726257 8200282092 9995246388 12300423138 12771703718 16103452514 19157555577 24155178771 24600846276 25543407436 32206905028 38315111154 48310357542 57472666731 72465536313 76630222308 96620715084 114945333462 144931072626 185189703911 229890666924 289862145252 370379407822 555569111733 740758815644 1111138223466 1666707335199 2222276446932 3333414670398 6666829340796