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2788426656 = 253216359399
BaseRepresentation
bin1010011000110100…
…0000001110100000
321012022220202021100
42212031000032200
521202314123111
61140405354400
7126046143531
oct24615001640
97168822240
102788426656
111200aa3244
12659a08a00
13355907502
141c6490688
15114c00756
hexa63403a0

2788426656 has 72 divisors (see below), whose sum is σ = 7978370400. Its totient is φ = 923757696.

The previous prime is 2788426651. The next prime is 2788426709. The reversal of 2788426656 is 6566248872.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2788426651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17245 + ... + 76643.

It is an arithmetic number, because the mean of its divisors is an integer number (110810700).

Almost surely, 22788426656 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 2788426656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989185200).

2788426656 is an abundant number, since it is smaller than the sum of its proper divisors (5189943744).

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

2788426656 is a wasteful number, since it uses less digits than its factorization.

2788426656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59578 (or 59567 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2788426656 is about 52805.5551623122. Note that the first 3 decimals coincide. The cubic root of 2788426656 is about 1407.5151406027.

The spelling of 2788426656 in words is "two billion, seven hundred eighty-eight million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 46944 59399 118798 178197 237596 356394 475192 534591 712788 950384 1069182 1425576 1900768 2138364 2851152 4276728 5702304 8553456 9682037 17106912 19364074 29046111 38728148 58092222 77456296 87138333 116184444 154912592 174276666 232368888 309825184 348553332 464737776 697106664 929475552 1394213328 2788426656