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5128609860 = 22325113178171
BaseRepresentation
bin1001100011011000…
…00110000001000100
3111020102101101010100
410301230012001010
541000411003420
62204523524100
7241043315223
oct46154060104
914212341110
105128609860
1121a1a6a550
12bb1689630
136396ab6ba
143691bccba
152003ad190
hex131b06044

5128609860 has 144 divisors (see below), whose sum is σ = 17026656192. Its totient is φ = 1239225600.

The previous prime is 5128609859. The next prime is 5128609879. The reversal of 5128609860 is 689068215.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 623575 + ... + 631745.

It is an arithmetic number, because the mean of its divisors is an integer number (118240668).

Almost surely, 25128609860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128609860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513328096).

5128609860 is an abundant number, since it is smaller than the sum of its proper divisors (11898046332).

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

5128609860 is a wasteful number, since it uses less digits than its factorization.

5128609860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5128609860 is about 71614.3132341573. The cubic root of 5128609860 is about 1724.5133245846.

The spelling of 5128609860 in words is "five billion, one hundred twenty-eight million, six hundred nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 317 330 396 495 634 660 951 990 1268 1585 1902 1980 2853 3170 3487 3804 4755 5706 6340 6974 8171 9510 10461 11412 13948 14265 16342 17435 19020 20922 24513 28530 31383 32684 34870 40855 41844 49026 52305 57060 62766 69740 73539 81710 89881 98052 104610 122565 125532 147078 156915 163420 179762 209220 245130 269643 294156 313830 359524 367695 449405 490260 539286 627660 735390 808929 898810 1078572 1348215 1470780 1617858 1797620 2590207 2696430 3235716 4044645 5180414 5392860 7770621 8089290 10360828 12951035 15541242 16178580 23311863 25902070 28492277 31082484 38853105 46623726 51804140 56984554 77706210 85476831 93247452 113969108 116559315 142461385 155412420 170953662 233118630 256430493 284922770 341907324 427384155 466237260 512860986 569845540 854768310 1025721972 1282152465 1709536620 2564304930 5128609860