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2070718656 = 263311732011
BaseRepresentation
bin111101101101100…
…1010100011000000
312100022102101222120
41323123022203000
513220100444111
6541250404240
7102212550426
oct17333124300
95308371876
102070718656
11972959636
12499590680
13270008016
14159027116
15c1bd1406
hex7b6ca8c0

2070718656 has 112 divisors (see below), whose sum is σ = 5691030528. Its totient is φ = 663782400.

The previous prime is 2070718651. The next prime is 2070718679. The reversal of 2070718656 is 6568170702.

It is not an unprimeable number, because it can be changed into a prime (2070718651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028691 + ... + 1030701.

Almost surely, 22070718656 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 2070718656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845515264).

2070718656 is an abundant number, since it is smaller than the sum of its proper divisors (3620311872).

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

2070718656 is a wasteful number, since it uses less digits than its factorization.

2070718656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 2070718656 is about 45505.1497745035. The cubic root of 2070718656 is about 1274.5993678592.

The spelling of 2070718656 in words is "two billion, seventy million, seven hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 173 186 192 248 346 372 496 519 692 744 992 1038 1384 1488 1984 2011 2076 2768 2976 4022 4152 5363 5536 5952 6033 8044 8304 10726 11072 12066 16088 16089 16608 21452 24132 32176 32178 33216 42904 48264 62341 64352 64356 85808 96528 124682 128704 128712 171616 187023 193056 249364 257424 343232 347903 374046 386112 498728 514848 695806 748092 997456 1029696 1043709 1391612 1496184 1994912 2087418 2783224 2992368 3989824 4174836 5566448 5984736 8349672 10784993 11132896 11969472 16699344 21569986 22265792 32354979 33398688 43139972 64709958 66797376 86279944 129419916 172559888 258839832 345119776 517679664 690239552 1035359328 2070718656