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628416681564 = 223725918114167
BaseRepresentation
bin10010010010100001000…
…11011001011001011100
32020002001102212001021210
421021100203121121130
540243444132302224
61200405102224420
763254515442100
oct11112043313134
92202042761253
10628416681564
11222567919aa1
12a195b585110
134734acaa699
14225b62db900
151152e990429
hex92508d965c

628416681564 has 72 divisors (see below), whose sum is σ = 1734612727680. Its totient is φ = 176504433504.

The previous prime is 628416681527. The next prime is 628416681679. The reversal of 628416681564 is 465186614826.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9022392 + ... + 9091775.

It is an arithmetic number, because the mean of its divisors is an integer number (24091843440).

Almost surely, 2628416681564 is an apocalyptic number.

It is an amenable number.

628416681564 is an abundant number, since it is smaller than the sum of its proper divisors (1106196046116).

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

628416681564 is a wasteful number, since it uses less digits than its factorization.

628416681564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18114247 (or 18114238 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 628416681564 in words is "six hundred twenty-eight billion, four hundred sixteen million, six hundred eighty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8673 11564 17346 34692 18114167 36228334 54342501 72456668 108685002 126799169 217370004 253598338 380397507 507196676 760795014 887594183 1068735853 1521590028 1775188366 2137471706 2662782549 3206207559 3550376732 4274943412 5325565098 6412415118 7481150971 10651130196 12824830236 14962301942 22443452913 29924603884 44886905826 52368056797 89773811652 104736113594 157104170391 209472227188 314208340782 628416681564