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2068295680 = 2125119181
BaseRepresentation
bin111101101000111…
…1011000000000000
312100010212022021201
41323101323000000
513213440430210
6541122430544
7102153136363
oct17321730000
95303768251
102068295680
11971554180
12498802454
1326c66a1c9
141589960da
15c18a353a
hex7b47b000

2068295680 has 104 divisors (see below), whose sum is σ = 5415102864. Its totient is φ = 752025600.

The previous prime is 2068295659. The next prime is 2068295683. The reversal of 2068295680 is 865928602.

It is a self number, because there is not a number n which added to its sum of digits gives 2068295680.

It is not an unprimeable number, because it can be changed into a prime (2068295683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220690 + ... + 229870.

Almost surely, 22068295680 is an apocalyptic number.

2068295680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707551432).

2068295680 is an abundant number, since it is smaller than the sum of its proper divisors (3346807184).

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

2068295680 is an equidigital number, since it uses as much as digits as its factorization.

2068295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 2068295680 is about 45478.5188852935. The cubic root of 2068295680 is about 1274.1020318231.

The spelling of 2068295680 in words is "two billion, sixty-eight million, two hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 9181 10240 11264 14080 18362 20480 22528 28160 36724 45056 45905 56320 73448 91810 100991 112640 146896 183620 201982 225280 293792 367240 403964 504955 587584 734480 807928 1009910 1175168 1468960 1615856 2019820 2350336 2937920 3231712 4039640 4700672 5875840 6463424 8079280 9401344 11751680 12926848 16158560 18802688 23503360 25853696 32317120 37605376 47006720 51707392 64634240 94013440 103414784 129268480 188026880 206829568 258536960 413659136 517073920 1034147840 2068295680