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2070654048 = 2532192271667
BaseRepresentation
bin111101101101011…
…1010110001100000
312100022022010100200
41323122322301200
513220041412143
6541245145200
7102212161161
oct17332726140
95308263320
102070654048
11972915041
1249955b200
1326ccb47a8
1415900b768
15c1bbc1d3
hex7b6bac60

2070654048 has 144 divisors (see below), whose sum is σ = 6229379520. Its totient is φ = 650619648.

The previous prime is 2070654041. The next prime is 2070654071. The reversal of 2070654048 is 8404560702.

2070654048 is a `hidden beast` number, since 2 + 0 + 70 + 6 + 540 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070654041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241311 + ... + 1242977.

It is an arithmetic number, because the mean of its divisors is an integer number (43259580).

Almost surely, 22070654048 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 2070654048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114689760).

2070654048 is an abundant number, since it is smaller than the sum of its proper divisors (4158725472).

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

2070654048 is a wasteful number, since it uses less digits than its factorization.

2070654048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2070654048 is about 45504.4398712917. The cubic root of 2070654048 is about 1274.5861115642.

The spelling of 2070654048 in words is "two billion, seventy million, six hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 227 228 288 304 342 454 456 608 681 684 908 912 1362 1368 1667 1816 1824 2043 2724 2736 3334 3632 4086 4313 5001 5448 5472 6668 7264 8172 8626 10002 10896 12939 13336 15003 16344 17252 20004 21792 25878 26672 30006 31673 32688 34504 38817 40008 51756 53344 60012 63346 65376 69008 77634 80016 95019 103512 120024 126692 138016 155268 160032 190038 207024 240048 253384 285057 310536 378409 380076 414048 480096 506768 570114 621072 756818 760152 1013536 1135227 1140228 1242144 1513636 1520304 2270454 2280456 3027272 3040608 3405681 4540908 4560912 6054544 6811362 7189771 9081816 9121824 12109088 13622724 14379542 18163632 21569313 27245448 28759084 36327264 43138626 54490896 57518168 64707939 86277252 108981792 115036336 129415878 172554504 230072672 258831756 345109008 517663512 690218016 1035327024 2070654048