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5780656400 = 245214451641
BaseRepresentation
bin1010110001000110…
…11101000100010000
3112220212022202211012
411120203131010100
543314322001100
62353335310052
7263151524441
oct53043350420
915825282735
105780656400
1124a7036792
121153b1b328
137117cb05c
143cba332c8
1523c75c135
hex1588dd110

5780656400 has 30 divisors (see below), whose sum is σ = 13888027962. Its totient is φ = 2312262400.

The previous prime is 5780656381. The next prime is 5780656439. The reversal of 5780656400 is 46560875.

It can be written as a sum of positive squares in 3 ways, for example, as 1786921984 + 3993734416 = 42272^2 + 63196^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7225421 + ... + 7226220.

Almost surely, 25780656400 is an apocalyptic number.

5780656400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5780656400 is an abundant number, since it is smaller than the sum of its proper divisors (8107371562).

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

5780656400 is a wasteful number, since it uses less digits than its factorization.

5780656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14451659 (or 14451648 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 5780656400 is about 76030.6280389686. The cubic root of 5780656400 is about 1794.7021590798.

The spelling of 5780656400 in words is "five billion, seven hundred eighty million, six hundred fifty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 14451641 28903282 57806564 72258205 115613128 144516410 231226256 289032820 361291025 578065640 722582050 1156131280 1445164100 2890328200 5780656400