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63332144316064 = 2513732518308723
BaseRepresentation
bin11100110011001101010011…
…11101101111111010100000
322022020111100000210021012001
432121212221331233322200
531300113212421103224
6342410215131213344
716224411401333311
oct1631465175577240
9268214300707161
1063332144316064
11191a8014445548
12712a23aba7254
132945270908150
14118d4138c0608
1574c63399c544
hex3999a9f6fea0

63332144316064 has 96 divisors (see below), whose sum is σ = 136658037104064. Its totient is φ = 28714943232000.

The previous prime is 63332144316017. The next prime is 63332144316071. The reversal of 63332144316064 is 46061344123336.

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, 3468007 + ... + 11776729.

It is an arithmetic number, because the mean of its divisors is an integer number (1423521219834).

Almost surely, 263332144316064 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 63332144316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68329018552032).

63332144316064 is an abundant number, since it is smaller than the sum of its proper divisors (73325892788000).

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

63332144316064 is a wasteful number, since it uses less digits than its factorization.

63332144316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309070 (or 8309062 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 46.

The spelling of 63332144316064 in words is "sixty-three trillion, three hundred thirty-two billion, one hundred forty-four million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 251 292 416 502 584 949 1004 1168 1898 2008 2336 3263 3796 4016 6526 7592 8032 13052 15184 18323 26104 30368 36646 52208 73292 104416 146584 238199 293168 476398 586336 952796 1905592 3811184 7622368 8308723 16617446 33234892 66469784 108013399 132939568 216026798 265879136 432053596 606536779 864107192 1213073558 1728214384 2085489473 2426147116 3456428768 4170978946 4852294232 7884978127 8341957892 9704588464 15769956254 16683915784 19409176928 27111363149 31539912508 33367831568 54222726298 63079825016 66735663136 108445452596 126159650032 152240731529 216890905192 252319300064 304481463058 433781810384 608962926116 867563620768 1217925852232 1979129509877 2435851704464 3958259019754 4871703408928 7916518039508 15833036079016 31666072158032 63332144316064