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34132014522 = 23329532111949
BaseRepresentation
bin11111110010011011…
…010011010110111010
310021002201101222201000
4133302123103112322
51024400243431042
623402515305430
72315552223264
oct376233232672
9107081358630
1034132014522
11135256a5771
1267468ab276
1332ac4591c8
14191b124b34
15d4b77974c
hex7f26d35ba

34132014522 has 128 divisors (see below), whose sum is σ = 80364960000. Its totient is φ = 10721168640.

The previous prime is 34132014491. The next prime is 34132014593. The reversal of 34132014522 is 22541023143.

34132014522 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 201 + 452 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17511604 + ... + 17513552.

It is an arithmetic number, because the mean of its divisors is an integer number (627851250).

Almost surely, 234132014522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34132014522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40182480000).

34132014522 is an abundant number, since it is smaller than the sum of its proper divisors (46232945478).

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

34132014522 is a wasteful number, since it uses less digits than its factorization.

34132014522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34132014522 its reverse (22541023143), we get a palindrome (56673037665).

The spelling of 34132014522 in words is "thirty-four billion, one hundred thirty-two million, fourteen thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 87 106 159 174 211 261 318 422 477 522 633 783 954 1266 1431 1537 1566 1899 1949 2862 3074 3798 3898 4611 5697 5847 6119 9222 11183 11394 11694 12238 13833 17541 18357 22366 27666 33549 35082 36714 41499 52623 55071 56521 67098 82998 100647 103297 105246 110142 113042 165213 169563 201294 206594 301941 309891 324307 330426 339126 411239 508689 603882 619782 648614 822478 929673 972921 1017378 1233717 1526067 1859346 1945842 2467434 2789019 2918763 2995613 3052134 3701151 5578038 5837526 5991226 7402302 8756289 8986839 11103453 11925931 17512578 17973678 21795667 22206906 23851862 26960517 35777793 43591334 53921034 65387001 71555586 80881551 107333379 130774002 161763102 196161003 214666758 322000137 392322006 588483009 632074343 644000274 1176966018 1264148686 1896223029 3792446058 5688669087 11377338174 17066007261 34132014522