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2069653873104 = 2437193112973
BaseRepresentation
bin11110000111100000111…
…110111110000111010000
321022212010201220020000000
4132013200332332013100
5232402122342414404
64222441425130000
7302345644441266
oct36074076760720
97285121806000
102069653873104
1172880a723674
12295142a89900
131202240806bc
1472259526436
1538c8301c339
hex1e1e0fbe1d0

2069653873104 has 160 divisors (see below), whose sum is σ = 6330543926400. Its totient is φ = 653574697344.

The previous prime is 2069653873039. The next prime is 2069653873163. The reversal of 2069653873104 is 4013783569602.

2069653873104 is a `hidden beast` number, since 2 + 0 + 6 + 96 + 538 + 7 + 3 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891639 + ... + 2221334.

It is an arithmetic number, because the mean of its divisors is an integer number (39565899540).

It is a 1-persistent number, because it is pandigital, but 2⋅2069653873104 = 4139307746208 is not.

Almost surely, 22069653873104 is an apocalyptic number.

2069653873104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2069653873104 is an abundant number, since it is smaller than the sum of its proper divisors (4260890053296).

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

2069653873104 is an equidigital number, since it uses as much as digits as its factorization.

2069653873104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113021 (or 3112997 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2069653873104 in words is "two trillion, sixty-nine billion, six hundred fifty-three million, eight hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1296 1368 1458 1539 1944 2052 2187 2736 2916 3078 3888 4104 4374 4617 5832 6156 8208 8748 9234 11664 12312 13851 17496 18468 24624 27702 34992 36936 41553 55404 73872 83106 110808 166212 221616 332424 664848 3112973 6225946 9338919 12451892 18677838 24903784 28016757 37355676 49807568 56033514 59146487 74711352 84050271 112067028 118292974 149422704 168100542 177439461 224134056 236585948 252150813 336201084 354878922 448268112 473171896 504301626 532318383 672402168 709757844 756452439 946343792 1008603252 1064636766 1344804336 1419515688 1512904878 1596955149 2017206504 2129273532 2269357317 2839031376 3025809756 3193910298 4034413008 4258547064 4538714634 4790865447 6051619512 6387820596 6808071951 8517094128 9077429268 9581730894 12103239024 12775641192 13616143902 14372596341 18154858536 19163461788 25551282384 27232287804 28745192682 36309717072 38326923576 43117789023 54464575608 57490385364 76653847152 86235578046 108929151216 114980770728 129353367069 172471156092 229961541456 258706734138 344942312184 517413468276 689884624368 1034826936552 2069653873104