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164199345534528 = 26341172571208707
BaseRepresentation
bin100101010101011010100011…
…101010011011011001000000
3210112101022012201012010211120
4211111122203222123121000
5133010220224424101103
61341120045445512240
746405003565315403
oct4525324352333100
9715338181163746
10164199345534528
1148356607982497
12164bab24712680
137080c16353645
142c7940da85d3a
1513eb3060c6253
hex9556a3a9b640

164199345534528 has 112 divisors (see below), whose sum is σ = 445066456519104. Its totient is φ = 53395022684160.

The previous prime is 164199345534481. The next prime is 164199345534551. The reversal of 164199345534528 is 825435543991461.

It is a happy number.

It is a super-2 number, since 2×1641993455345282 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135242751 + ... + 136451457.

It is an arithmetic number, because the mean of its divisors is an integer number (3973807647492).

Almost surely, 2164199345534528 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 164199345534528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222533228259552).

164199345534528 is an abundant number, since it is smaller than the sum of its proper divisors (280867110984576).

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

164199345534528 is a wasteful number, since it uses less digits than its factorization.

164199345534528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226020 (or 1226010 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 69.

The spelling of 164199345534528 in words is "one hundred sixty-four trillion, one hundred ninety-nine billion, three hundred forty-five million, five hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 17257 34514 51771 69028 103542 138056 207084 276112 414168 552224 707537 828336 1104448 1208707 1415074 1656672 2122611 2417414 2830148 3313344 3626121 4245222 4834828 5660296 7252242 8490444 9669656 11320592 14504484 16980888 19339312 22641184 29008968 33961776 38678624 45282368 49556987 58017936 67923552 77357248 99113974 116035872 135847104 148670961 198227948 232071744 297341922 396455896 594683844 792911792 1189367688 1585823584 2378735376 3171647168 4757470752 9514941504 20858656699 41717313398 62575970097 83434626796 125151940194 166869253592 250303880388 333738507184 500607760776 667477014368 855204924659 1001215521552 1334954028736 1710409849318 2002431043104 2565614773977 3420819698636 4004862086208 5131229547954 6841639397272 10262459095908 13683278794544 20524918191816 27366557589088 41049836383632 54733115178176 82099672767264 164199345534528