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2108838864 = 243114784979
BaseRepresentation
bin111110110110010…
…0101001111010000
312102222011010002010
41331230211033100
513304330320424
6545131422520
7103154556156
oct17554451720
95388133063
102108838864
11992425940
124aa2b4a40
13277b94062
1416010b3d6
15c5211229
hex7db253d0

2108838864 has 80 divisors (see below), whose sum is σ = 6069611520. Its totient is φ = 625438080.

The previous prime is 2108838863. The next prime is 2108838913. The reversal of 2108838864 is 4688388012.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108838863) 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 15 ways as a sum of consecutive naturals, for example, 17674 + ... + 67305.

It is an arithmetic number, because the mean of its divisors is an integer number (75870144).

Almost surely, 22108838864 is an apocalyptic number.

2108838864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2108838864 is an abundant number, since it is smaller than the sum of its proper divisors (3960772656).

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

2108838864 is a wasteful number, since it uses less digits than its factorization.

2108838864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85048 (or 85042 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 2108838864 is about 45922.0955967822. The cubic root of 2108838864 is about 1282.3732954330.

The spelling of 2108838864 in words is "two billion, one hundred eight million, eight hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 6204 8272 12408 24816 84979 169958 254937 339916 509874 679832 934769 1019748 1359664 1869538 2039496 2804307 3739076 3994013 4078992 5608614 7478152 7988026 11217228 11982039 14956304 15976052 22434456 23964078 31952104 43934143 44868912 47928156 63904208 87868286 95856312 131802429 175736572 191712624 263604858 351473144 527209716 702946288 1054419432 2108838864