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1988000568 = 2332711572477
BaseRepresentation
bin111011001111110…
…0111101100111000
312010112202220002200
41312133213230320
513032412004233
6525133430200
7100156504011
oct16637475470
95115686080
101988000568
119301a1284
1247593b360
13258b356c8
1414c054008
15b97e2313
hex767e7b38

1988000568 has 96 divisors (see below), whose sum is σ = 5496996960. Its totient is φ = 648910080.

The previous prime is 1988000557. The next prime is 1988000593. The reversal of 1988000568 is 8650008891.

1988000568 is a `hidden beast` number, since 1 + 9 + 8 + 80 + 0 + 0 + 568 = 666.

It is a Cunningham number, because it is equal to 445872-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801346 + ... + 803822.

It is an arithmetic number, because the mean of its divisors is an integer number (57260385).

Almost surely, 21988000568 is an apocalyptic number.

1988000568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988000568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748498480).

1988000568 is an abundant number, since it is smaller than the sum of its proper divisors (3508996392).

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

1988000568 is a wasteful number, since it uses less digits than its factorization.

1988000568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1988000568 is about 44586.9999887860. Note that the first 4 decimals coincide. The cubic root of 1988000568 is about 1257.3962709964.

The spelling of 1988000568 in words is "one billion, nine hundred eighty-eight million, five hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 157 213 284 314 426 471 568 628 639 852 942 1256 1278 1413 1704 1884 2477 2556 2826 3768 4954 5112 5652 7431 9908 11147 11304 14862 19816 22293 22294 29724 33441 44586 44588 59448 66882 89172 89176 100323 133764 175867 178344 200646 267528 351734 388889 401292 527601 703468 777778 802584 1055202 1166667 1406936 1555556 1582803 2110404 2333334 3111112 3165606 3500001 4220808 4666668 6331212 7000002 9333336 12662424 14000004 27611119 28000008 55222238 82833357 110444476 165666714 220888952 248500071 331333428 497000142 662666856 994000284 1988000568