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4210445632316 = 22721129316993923
BaseRepresentation
bin111101010001010010000…
…111011100001100111100
3112220111220012021111011112
4331101102013130030330
51022440443040213231
612542130234141152
7613123524240500
oct75212207341474
915814805244145
104210445632316
11138370487aa50
125800198817b8
13247074232a21
14107b02826300
15747cb4b692b
hex3d4521dc33c

4210445632316 has 144 divisors (see below), whose sum is σ = 9390298377600. Its totient is φ = 1633455895680.

The previous prime is 4210445632307. The next prime is 4210445632369. The reversal of 4210445632316 is 6132365440124.

4210445632316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073269931 + ... + 1073273853.

It is an arithmetic number, because the mean of its divisors is an integer number (65210405400).

Almost surely, 24210445632316 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 4210445632316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695149188800).

4210445632316 is an abundant number, since it is smaller than the sum of its proper divisors (5179852745284).

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

4210445632316 is a wasteful number, since it uses less digits than its factorization.

4210445632316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 4210445632316 in words is "four trillion, two hundred ten billion, four hundred forty-five million, six hundred thirty-two thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 293 308 539 586 1078 1172 1699 2051 2156 3223 3398 3923 4102 6446 6796 7846 8204 11893 12892 14357 15692 18689 22561 23786 27461 28714 37378 43153 45122 47572 54922 57428 74756 83251 86306 90244 109844 130823 157927 166502 172612 192227 261646 302071 315854 333004 384454 497807 523292 604142 631708 768908 915761 995614 1149439 1208284 1831522 1991228 2114497 2298878 3484649 3663044 4228994 4597756 5475877 6665177 6969298 8046073 8457988 10951754 12643829 13330354 13938596 16092146 21903508 24392543 25287658 26660708 32184292 38331139 46656239 48785086 50575316 56322511 73316947 76662278 88506803 93312478 97570172 112645022 146633894 153324556 177013606 186624956 225290044 268317973 293267788 326593673 354027212 513218629 536635946 619547621 653187346 1026437258 1073271892 1239095242 1306374692 1952896861 2052874516 2478190484 3592530403 3905793722 7185060806 7811587444 13670278027 14370121612 21481865471 27340556054 42963730942 54681112108 85927461884 95691946189 150373058297 191383892378 300746116594 382767784756 601492233188 1052611408079 2105222816158 4210445632316