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3268060527264 = 253132584934439
BaseRepresentation
bin101111100011100111100…
…101100011101010100000
3102120102102202102222101120
4233203213211203222200
5412020441443333024
610541154250532240
7455052405100221
oct57434745435240
912512382388346
103268060527264
11104aa81a73415
12449456a37080
131a923b522300
14b42641ad248
155a022dc0479
hex2f8e7963aa0

3268060527264 has 144 divisors (see below), whose sum is σ = 9291174984000. Its totient is φ = 1005355972608.

The previous prime is 3268060527253. The next prime is 3268060527269. The reversal of 3268060527264 is 4627250608623.

It is a super-2 number, since 2×32680605272642 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3268060527269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94876957 + ... + 94911395.

It is an arithmetic number, because the mean of its divisors is an integer number (64522048500).

Almost surely, 23268060527264 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 3268060527264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645587492000).

3268060527264 is an abundant number, since it is smaller than the sum of its proper divisors (6023114456736).

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

3268060527264 is a wasteful number, since it uses less digits than its factorization.

3268060527264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40327 (or 40306 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 3268060527264 in words is "three trillion, two hundred sixty-eight billion, sixty million, five hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 5849 8112 11698 16224 17547 23396 34439 35094 46792 68878 70188 76037 93584 103317 137756 140376 152074 187168 206634 228111 275512 280752 304148 413268 447707 456222 551024 561504 608296 826536 895414 912444 988481 1102048 1216592 1343121 1653072 1790828 1824888 1976962 2433184 2686242 2965443 3306144 3581656 3649776 3953924 5372484 5820191 5930886 7163312 7299552 7907848 10744968 11640382 11861772 14326624 15815696 17460573 21489936 23280764 23723544 31631392 34921146 42979872 46561528 47447088 69842292 93123056 94894176 139684584 186246112 201433711 279369168 402867422 558738336 604301133 805734844 1208602266 1611469688 2417204532 2618638243 3222939376 4834409064 5237276486 6445878752 7855914729 9668818128 10474552972 15711829458 19337636256 20949105944 31423658916 34042297159 41898211888 62847317832 68084594318 83796423776 102126891477 125694635664 136169188636 204253782954 251389271328 272338377272 408507565908 544676754544 817015131816 1089353509088 1634030263632 3268060527264