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2465980278336 = 263259211092
BaseRepresentation
bin100011111000100111111…
…000001110011001000000
322201202010101221122100100
4203320213320032121000
5310400311422401321
65124504455322400
7343106201342421
oct43704770163100
98652111848310
102465980278336
118708a8640933
12339b0b980400
1314b7055b1b13
14874d585d648
154422c168326
hex23e27e0e640

2465980278336 has 189 divisors, whose sum is σ = 7196608505281. Its totient is φ = 807332694528.

The previous prime is 2465980278323. The next prime is 2465980278337. The reversal of 2465980278336 is 6338720895642.

It is a happy number.

The square root of 2465980278336 is 1570344.

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

2465980278336 is a `hidden beast` number, since 2 + 4 + 6 + 598 + 0 + 2 + 7 + 8 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39862518336 + 2426117760000 = 199656^2 + 1557600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2465980278337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2223606550 + ... + 2223607658.

Almost surely, 22465980278336 is an apocalyptic number.

2465980278336 is the 1570344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465980278336

2465980278336 is an abundant number, since it is smaller than the sum of its proper divisors (4730628226945).

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

2465980278336 is an frugal number, since it uses more digits than its factorization.

2465980278336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 2465980278336 in words is "two trillion, four hundred sixty-five billion, nine hundred eighty million, two hundred seventy-eight thousand, three hundred thirty-six".