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2097419886 = 233313134003
BaseRepresentation
bin111110100000100…
…0001011001101110
312102011122222012000
41331001001121232
513243414414021
6544042553130
7102655526532
oct17501013156
95364588160
102097419886
11986a36671
124a65087a6
132756c6673
1415c7b7bc2
15c4207b26
hex7d04166e

2097419886 has 64 divisors (see below), whose sum is σ = 4827863040. Its totient is φ = 674256960.

The previous prime is 2097419881. The next prime is 2097419911. The reversal of 2097419886 is 6889147902.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097419881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521961 + ... + 525963.

It is an arithmetic number, because the mean of its divisors is an integer number (75435360).

Almost surely, 22097419886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097419886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413931520).

2097419886 is an abundant number, since it is smaller than the sum of its proper divisors (2730443154).

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

2097419886 is a wasteful number, since it uses less digits than its factorization.

2097419886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2097419886 is about 45797.5969456914. The cubic root of 2097419886 is about 1280.0544992257.

The spelling of 2097419886 in words is "two billion, ninety-seven million, four hundred nineteen thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 313 558 626 837 939 1674 1878 2817 4003 5634 8006 8451 9703 12009 16902 19406 24018 29109 36027 58218 72054 87327 108081 124093 174654 216162 248186 261981 372279 523962 744558 1116837 1252939 2233674 2505878 3350511 3758817 6701022 7517634 11276451 22552902 33829353 38841109 67658706 77682218 116523327 233046654 349569981 699139962 1048709943 2097419886