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660384216872814 = 237537935221106621
BaseRepresentation
bin1001011000100111011010111…
…0101010010111011101101110
310012121020010002112010010110010
42112021312232222113131232
51143024213334004412224
610300304153203554050
7256046120343026550
oct22611665652273556
93177203075103403
10660384216872814
11181467412275385
1262096a7608b926
1322463c6cb54425
14b910aa392b4d0
155153197c11e29
hex2589daea9776e

660384216872814 has 128 divisors (see below), whose sum is σ = 1557456111636480. Its totient is φ = 182770972300800.

The previous prime is 660384216872771. The next prime is 660384216872819. The reversal of 660384216872814 is 418278612483066.

It is a super-2 number, since 2×6603842168728142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660384216872819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6193700424 + ... + 6193807044.

It is an arithmetic number, because the mean of its divisors is an integer number (12167625872160).

Almost surely, 2660384216872814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660384216872814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778728055818240).

660384216872814 is an abundant number, since it is smaller than the sum of its proper divisors (897071894763666).

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

660384216872814 is a wasteful number, since it uses less digits than its factorization.

660384216872814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141986.

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 660384216872814 in words is "six hundred sixty trillion, three hundred eighty-four billion, two hundred sixteen million, eight hundred seventy-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 79 106 158 159 237 318 371 474 553 742 1106 1113 1659 2226 3318 4187 8374 12561 25122 29309 35221 58618 70442 87927 105663 106621 175854 211326 213242 246547 319863 493094 639726 739641 746347 1479282 1492694 1866713 2239041 2782459 3733426 4478082 5564918 5600139 5650913 8347377 8423059 11200278 11301826 13066991 16694754 16846118 16952739 19477213 25269177 26133982 33905478 38954426 39200973 39556391 50538354 58431639 58961413 78401946 79112782 116863278 117922826 118669173 147470327 176884239 237338346 294940654 353768478 442410981 446422127 884821962 892844254 1032292289 1339266381 2064584578 2678532762 3096876867 3124954889 3755298241 6193753734 6249909778 7510596482 9374864667 11265894723 18749729334 22531789446 26287087687 52574175374 78861263061 157722526122 199030806773 296668561039 398061613546 593337122078 597092420319 890005683117 1194184840638 1393215647411 1780011366234 2076679927273 2786431294822 4153359854546 4179646942233 6230039781819 8359293884466 12460079563638 15723433735067 31446867470134 47170301205201 94340602410402 110064036145469 220128072290938 330192108436407 660384216872814