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5561011000 = 235329233823
BaseRepresentation
bin1010010110111011…
…00100101100111000
3112100120000121222101
411023131210230320
542342104323000
62315451433144
7254543546026
oct51335445470
915316017871
105561011000
1123a4055966
1210b24557b4
136a8155b6c
143aa7b9716
15228321e6a
hex14b764b38

5561011000 has 128 divisors (see below), whose sum is σ = 13535683200. Its totient is φ = 2135884800.

The previous prime is 5561010997. The next prime is 5561011007. The reversal of 5561011000 is 1101655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5561011007) by changing a digit.

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, 6756589 + ... + 6757411.

It is an arithmetic number, because the mean of its divisors is an integer number (105747525).

Almost surely, 25561011000 is an apocalyptic number.

5561011000 is a gapful number since it is divisible by the number (50) 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 5561011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767841600).

5561011000 is an abundant number, since it is smaller than the sum of its proper divisors (7974672200).

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

5561011000 is a wasteful number, since it uses less digits than its factorization.

5561011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 5561011000 is about 74572.1865040848. The cubic root of 5561011000 is about 1771.6771531263.

Adding to 5561011000 its reverse (1101655), we get a palindrome (5562112655).

The spelling of 5561011000 in words is "five billion, five hundred sixty-one million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 233 250 290 466 500 580 725 823 932 1000 1160 1165 1450 1646 1864 2330 2900 3292 3625 4115 4660 5800 5825 6584 6757 7250 8230 9320 11650 13514 14500 16460 20575 23300 23867 27028 29000 29125 32920 33785 41150 46600 47734 54056 58250 67570 82300 95468 102875 116500 119335 135140 164600 168925 190936 191759 205750 233000 238670 270280 337850 383518 411500 477340 596675 675700 767036 823000 844625 954680 958795 1193350 1351400 1534072 1689250 1917590 2386700 2983375 3378500 3835180 4773400 4793975 5561011 5966750 6757000 7670360 9587950 11122022 11933500 19175900 22244044 23867000 23969875 27805055 38351800 44488088 47939750 55610110 95879500 111220220 139025275 191759000 222440440 278050550 556101100 695126375 1112202200 1390252750 2780505500 5561011000