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3876026478114 = 237261109218191
BaseRepresentation
bin111000011001110101001…
…011100110111000100010
3111201112200221122021010110
4320121311023212320202
51002001100234244424
612124342203112150
7550014356313600
oct70316513467042
914645627567113
103876026478114
1112648a499876a
12527249512656
1322167a6308ab
14d585a3b6870
156ac5725ec29
hex386752e6e22

3876026478114 has 144 divisors (see below), whose sum is σ = 9250892654976. Its totient is φ = 1079228707200.

The previous prime is 3876026478091. The next prime is 3876026478133. The reversal of 3876026478114 is 4118746206783.

3876026478114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213064759 + ... + 213082949.

It is an arithmetic number, because the mean of its divisors is an integer number (64242310104).

Almost surely, 23876026478114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876026478114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625446327488).

3876026478114 is an abundant number, since it is smaller than the sum of its proper divisors (5374866176862).

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

3876026478114 is a wasteful number, since it uses less digits than its factorization.

3876026478114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18489 (or 18373 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 3876026478114 in words is "three trillion, eight hundred seventy-six billion, twenty-six million, four hundred seventy-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 109 122 147 183 218 294 327 366 427 654 763 854 1281 1526 2289 2562 2989 4578 5341 5978 6649 8967 10682 11881 13298 16023 17934 18191 19947 23762 32046 35643 36382 39894 46543 54573 71286 83167 93086 109146 127337 139629 166334 249501 254674 279258 325801 382011 499002 582169 651602 724741 764022 891359 977403 1109651 1164338 1449482 1746507 1782718 1954806 1982819 2174223 2219302 2674077 3328953 3493014 3965638 4348446 5073187 5348154 5948457 6657906 7767557 10146374 11896914 13879733 15219561 15535114 23302671 27759466 30439122 35512309 41639199 46605342 54372899 71024618 83278398 97158131 106536927 108745798 120951959 163118697 194316262 213073854 216127271 241903918 291474393 326237394 362855877 432254542 582948786 648381813 725711754 846663713 1296763626 1512890897 1693327426 2539991139 3025781794 4538672691 5079982278 5926645991 9077345382 10590236279 11853291982 13183763531 17779937973 21180472558 26367527062 31770708837 35559875946 39551290593 63541417674 79102581186 92286344717 184572689434 276859034151 553718068302 646004413019 1292008826038 1938013239057 3876026478114