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1909094064 = 243613471879
BaseRepresentation
bin111000111001010…
…0111011010110000
311221001022000201120
41301302213122300
512402212002224
6513234302240
765211013623
oct16162473260
94831260646
101909094064
1189a6a7699
12453427980
13245698c77
14141793dba
15b2907779
hex71ca76b0

1909094064 has 80 divisors (see below), whose sum is σ = 5029797120. Its totient is φ = 623796480.

The previous prime is 1909094063. The next prime is 1909094113. The reversal of 1909094064 is 4604909091.

1909094064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1909094063) 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, 1015077 + ... + 1016955.

It is an arithmetic number, because the mean of its divisors is an integer number (62872464).

Almost surely, 21909094064 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 1909094064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514898560).

1909094064 is an abundant number, since it is smaller than the sum of its proper divisors (3120703056).

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

1909094064 is a wasteful number, since it uses less digits than its factorization.

1909094064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1909094064 is about 43693.1809782717. The cubic root of 1909094064 is about 1240.5352493273.

The spelling of 1909094064 in words is "one billion, nine hundred nine million, ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 347 366 488 694 732 976 1041 1388 1464 1879 2082 2776 2928 3758 4164 5552 5637 7516 8328 11274 15032 16656 21167 22548 30064 42334 45096 63501 84668 90192 114619 127002 169336 229238 254004 338672 343857 458476 508008 652013 687714 916952 1016016 1304026 1375428 1833904 1956039 2608052 2750856 3912078 5216104 5501712 7824156 10432208 15648312 31296624 39772793 79545586 119318379 159091172 238636758 318182344 477273516 636364688 954547032 1909094064