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1883568064 = 26713730689
BaseRepresentation
bin111000001000100…
…1111011111000000
311212021021011122011
41300101033133000
512324143134224
6510523222304
764451031040
oct16021173700
94767234564
101883568064
11887252624
12446977994
132402cc521
1413c22b720
15b0564394
hex7044f7c0

1883568064 has 56 divisors (see below), whose sum is σ = 4302983520. Its totient is φ = 801325056.

The previous prime is 1883568061. The next prime is 1883568077. The reversal of 1883568064 is 4608653881.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 1883567999 and 1883568017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1883568061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46032 + ... + 76720.

Almost surely, 21883568064 is an apocalyptic number.

1883568064 is a gapful number since it is divisible by the number (14) 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 1883568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151491760).

1883568064 is an abundant number, since it is smaller than the sum of its proper divisors (2419415456).

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

1883568064 is a wasteful number, since it uses less digits than its factorization.

1883568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30845 (or 30835 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 1883568064 is about 43400.0929031264. The cubic root of 1883568064 is about 1234.9814645330.

The spelling of 1883568064 in words is "one billion, eight hundred eighty-three million, five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 137 224 274 448 548 959 1096 1918 2192 3836 4384 7672 8768 15344 30688 30689 61376 61378 122756 214823 245512 429646 491024 859292 982048 1718584 1964096 3437168 4204393 6874336 8408786 13748672 16817572 29430751 33635144 58861502 67270288 117723004 134540576 235446008 269081152 470892016 941784032 1883568064