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601096886376896 = 26713432723852627
BaseRepresentation
bin1000100010101100011100011…
…0011000110101100111000000
32220211022022010112010111111202
42020223013012120311213000
51112241332410403030041
65530232033014200332
7240416550125520260
oct21053070630654700
92824268115114452
10601096886376896
111645898378838a8
125750072b0530a8
131ca532684ca160
14a86135cdd37a0
154975d99633a9b
hex222b1c66359c0

601096886376896 has 112 divisors (see below), whose sum is σ = 1468402890748416. Its totient is φ = 237741604015104.

The previous prime is 601096886376851. The next prime is 601096886376911. The reversal of 601096886376896 is 698673688690106.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6010968863768962 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 13274135 + ... + 37126761.

It is an arithmetic number, because the mean of its divisors is an integer number (13110740095968).

Almost surely, 2601096886376896 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 601096886376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734201445374208).

601096886376896 is an abundant number, since it is smaller than the sum of its proper divisors (867306004371520).

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

601096886376896 is a wasteful number, since it uses less digits than its factorization.

601096886376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23856986 (or 23856976 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 83.

The spelling of 601096886376896 in words is "six hundred one trillion, ninety-six billion, eight hundred eighty-six million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 4327 5824 8654 17308 30289 34616 56251 60578 69232 112502 121156 138464 225004 242312 276928 393757 450008 484624 787514 900016 969248 1575028 1800032 1938496 3150056 3600064 6300112 12600224 23852627 25200448 47705254 95410508 166968389 190821016 310084151 333936778 381642032 620168302 667873556 763284064 1240336604 1335747112 1526568128 2170589057 2480673208 2671494224 4341178114 4961346416 5342988448 8682356228 9922692832 10685976896 17364712456 19845385664 34729424912 69458849824 103210317029 138917699648 206420634058 412841268116 722472219203 825682536232 1341734121377 1444944438406 1651365072464 2683468242754 2889888876812 3302730144928 5366936485508 5779777753624 6605460289856 9392138849639 10733872971016 11559555507248 18784277699278 21467745942032 23119111014496 37568555398556 42935491884064 46238222028992 75137110797112 85870983768128 150274221594224 300548443188448 601096886376896