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2663416640 = 2658323177
BaseRepresentation
bin1001111011000000…
…1000001101000000
320212121200120202202
42132300020031000
520423313313030
61120142132332
7123000445043
oct23660101500
96777616682
102663416640
11114747a385
12623b810a8
13335a480a1
141b3a2cc5a
15108c5a745
hex9ec08340

2663416640 has 28 divisors (see below), whose sum is σ = 6342261636. Its totient is φ = 1065366528.

The previous prime is 2663416627. The next prime is 2663416649. The reversal of 2663416640 is 466143662.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 950118976 + 1713297664 = 30824^2 + 41392^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2663416594 and 2663416603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663416649) 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 3 ways as a sum of consecutive naturals, for example, 4161269 + ... + 4161908.

Almost surely, 22663416640 is an apocalyptic number.

2663416640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2663416640 is an abundant number, since it is smaller than the sum of its proper divisors (3678844996).

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

2663416640 is an equidigital number, since it uses as much as digits as its factorization.

2663416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323194 (or 8323184 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 2663416640 is about 51608.3001076377. The cubic root of 2663416640 is about 1386.1589590212.

The spelling of 2663416640 in words is "two billion, six hundred sixty-three million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 8323177 16646354 33292708 41615885 66585416 83231770 133170832 166463540 266341664 332927080 532683328 665854160 1331708320 2663416640