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2109622872 = 233732511021
BaseRepresentation
bin111110110111110…
…0100101001011000
312110000121221112110
41331233210221120
513310030412442
6545200312320
7103164333000
oct17557445130
95400557473
102109622872
11992910985
124aa6126a0
132780a9b76
14160273000
15c531869c
hex7dbe4a58

2109622872 has 128 divisors (see below), whose sum is σ = 6181056000. Its totient is φ = 599760000.

The previous prime is 2109622849. The next prime is 2109622891. The reversal of 2109622872 is 2782269012.

It is a self number, because there is not a number n which added to its sum of digits gives 2109622872.

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, 2065722 + ... + 2066742.

It is an arithmetic number, because the mean of its divisors is an integer number (48289500).

Almost surely, 22109622872 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 2109622872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090528000).

2109622872 is an abundant number, since it is smaller than the sum of its proper divisors (4071433128).

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

2109622872 is a wasteful number, since it uses less digits than its factorization.

2109622872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2109622872 is about 45930.6310864547. The cubic root of 2109622872 is about 1282.5321927253.

The spelling of 2109622872 in words is "two billion, one hundred nine million, six hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 251 294 343 392 502 588 686 753 1004 1021 1029 1176 1372 1506 1757 2008 2042 2058 2744 3012 3063 3514 4084 4116 5271 6024 6126 7028 7147 8168 8232 10542 12252 12299 14056 14294 21084 21441 24504 24598 28588 36897 42168 42882 49196 50029 57176 73794 85764 86093 98392 100058 147588 150087 171528 172186 200116 256271 258279 295176 300174 344372 350203 400232 512542 516558 600348 688744 700406 768813 1025084 1033116 1050609 1200696 1400812 1537626 1793897 2050168 2066232 2101218 2801624 3075252 3587794 4202436 5381691 6150504 7175588 8404872 10763382 12557279 14351176 21526764 25114558 37671837 43053528 50229116 75343674 87900953 100458232 150687348 175801906 263702859 301374696 351603812 527405718 703207624 1054811436 2109622872