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2798480653956 = 223613223832
BaseRepresentation
bin101000101110010010011…
…100011111111010000100
3100220112100221001211000000
4220232102130133322010
5331322242021411311
65541334304321300
7406116650035551
oct50562234377204
910815327054000
102798480653956
11989913411399
12392445613230
13173b84806c00
1499639117a28
154cbdcc03056
hex28b9271fe84

2798480653956 has 189 divisors, whose sum is σ = 7954257782709. Its totient is φ = 860709631392.

The previous prime is 2798480653883. The next prime is 2798480653957. The reversal of 2798480653956 is 6593560848972.

It is a happy number.

The square root of 2798480653956 is 1672866.

It is a perfect power (a square), and thus also a powerful number.

2798480653956 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 4 + 80 + 6 + 539 + 5 + 6 = 666.

2798480653956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 413976428100 + 2384504225856 = 643410^2 + 1544184^2 .

It is not an unprimeable number, because it can be changed into a prime (2798480653957) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1174350741 + ... + 1174353123.

Almost surely, 22798480653956 is an apocalyptic number.

2798480653956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2798480653956 is the 1672866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2798480653956

2798480653956 is an abundant number, since it is smaller than the sum of its proper divisors (5155777128753).

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

2798480653956 is an frugal number, since it uses more digits than its factorization.

2798480653956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 2798480653956 in words is "two trillion, seven hundred ninety-eight billion, four hundred eighty million, six hundred fifty-three thousand, nine hundred fifty-six".