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5763210642 = 233761924631
BaseRepresentation
bin1010101111000001…
…11001110110010010
3112212122111102202000
411113200321312102
543300340220032
62351513334430
7262550324250
oct52740716622
915778442660
105763210642
112498200502
12114a107416
1370b000417
143c95b15d0
1523ae62e7c
hex157839d92

5763210642 has 64 divisors (see below), whose sum is σ = 14660966400. Its totient is φ = 1643904720.

The previous prime is 5763210631. The next prime is 5763210697. The reversal of 5763210642 is 2460123675.

5763210642 is a `hidden beast` number, since 5 + 7 + 6 + 3 + 2 + 1 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5763210597 and 5763210606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221667 + ... + 246297.

It is an arithmetic number, because the mean of its divisors is an integer number (229077600).

Almost surely, 25763210642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5763210642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330483200).

5763210642 is an abundant number, since it is smaller than the sum of its proper divisors (8897755758).

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

5763210642 is a wasteful number, since it uses less digits than its factorization.

5763210642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25268 (or 25262 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5763210642 is about 75915.8128587187. The cubic root of 5763210642 is about 1792.8948966272.

The spelling of 5763210642 in words is "five billion, seven hundred sixty-three million, two hundred ten thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 619 1238 1857 3714 4333 5571 8666 11142 12999 16713 24631 25998 33426 38997 49262 73893 77994 116991 147786 172417 221679 233982 344834 443358 517251 665037 1034502 1330074 1551753 3103506 4655259 9310518 15246589 30493178 45739767 91479534 106726123 137219301 213452246 274438602 320178369 411657903 640356738 823315806 960535107 1921070214 2881605321 5763210642