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164340434201515 = 511131733154175503
BaseRepresentation
bin100101010111011101111101…
…001100111110101110101011
3210112212210101102102000221021
4211113131331030332232223
5133020023202123422030
61341304541521353311
746421130106230055
oct4527357514765653
9715783342360837
10164340434201515
1148400428840210
121652233aa98837
13709130c628a90
142c82195b028d5
1513eed1269097a
hex95777d33ebab

164340434201515 has 128 divisors (see below), whose sum is σ = 246513306783744. Its totient is φ = 103330225152000.

The previous prime is 164340434201497. The next prime is 164340434201521. The reversal of 164340434201515 is 515102434043461.

It is not a de Polignac number, because 164340434201515 - 215 = 164340434168747 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2176570254 + ... + 2176645756.

It is an arithmetic number, because the mean of its divisors is an integer number (1925885209248).

Almost surely, 2164340434201515 is an apocalyptic number.

164340434201515 is a deficient number, since it is larger than the sum of its proper divisors (82172872582229).

164340434201515 is a wasteful number, since it uses less digits than its factorization.

164340434201515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76421.

The product of its (nonzero) digits is 691200, while the sum is 43.

Adding to 164340434201515 its reverse (515102434043461), we get a palindrome (679442868244976).

The spelling of 164340434201515 in words is "one hundred sixty-four trillion, three hundred forty billion, four hundred thirty-four million, two hundred one thousand, five hundred fifteen".

Divisors: 1 5 11 13 17 55 65 85 143 187 221 331 541 715 935 1105 1655 2431 2705 3641 4303 5627 5951 7033 9197 12155 18205 21515 28135 29755 35165 45985 47333 61897 73151 75503 77363 101167 119561 179071 236665 309485 365755 377515 386815 505835 597805 804661 830533 895355 981539 1283551 1315171 1969781 2327923 3044207 4023305 4152665 4907695 6417755 6575855 9848905 10796929 11639615 14119061 15221035 16686163 24991493 25607153 33486277 39574691 40847123 53984645 70595305 83430815 124957465 128035765 167431385 183547793 197873455 204235615 274906423 324889409 424855381 435321601 449318353 531012599 694401091 917738965 1374532115 1624447045 2124276905 2176608005 2246591765 2655062995 3472005455 3573783499 4673409191 5523119953 5841138589 7638412001 9027214183 13520397713 17868917495 23367045955 27615599765 29205692945 38192060005 45136070915 60754319483 67601988565 99299356013 148724374843 175765170269 229846761121 303771597415 496496780065 743621874215 878825851345 1149233805605 1933416872959 2528314372331 2988007894573 9667084364795 12641571861655 14940039472865 32868086840303 164340434201515