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2680505472 = 27364710789
BaseRepresentation
bin1001111111000101…
…0100010010000000
320220210211210020110
42133301110102000
520442202133342
61121552311320
7123265630521
oct23761242200
96823753213
102680505472
111156091487
12629842540
1333944c418
141b5dda848
1510a4d3c9c
hex9fc54480

2680505472 has 64 divisors (see below), whose sum is σ = 7131758400. Its totient is φ = 892038144.

The previous prime is 2680505461. The next prime is 2680505479. The reversal of 2680505472 is 2745050862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2680505472.

It is not an unprimeable number, because it can be changed into a prime (2680505479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243054 + ... + 253842.

It is an arithmetic number, because the mean of its divisors is an integer number (111433725).

Almost surely, 22680505472 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 2680505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565879200).

2680505472 is an abundant number, since it is smaller than the sum of its proper divisors (4451252928).

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

2680505472 is a wasteful number, since it uses less digits than its factorization.

2680505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11453 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2680505472 is about 51773.5982137614. The cubic root of 2680505472 is about 1389.1172339436.

The spelling of 2680505472 in words is "two billion, six hundred eighty million, five hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 647 1294 1941 2588 3882 5176 7764 10352 10789 15528 20704 21578 31056 32367 41408 43156 62112 64734 82816 86312 124224 129468 172624 248448 258936 345248 517872 690496 1035744 1380992 2071488 4142976 6980483 13960966 20941449 27921932 41882898 55843864 83765796 111687728 167531592 223375456 335063184 446750912 670126368 893501824 1340252736 2680505472