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6063842000 = 245329104549
BaseRepresentation
bin1011010010110111…
…01110001011010000
3120122121012002102202
411221123232023100
544404320421000
62441413102332
7303160543436
oct55133561320
916577162382
106063842000
112631976277
1212129279a8
1375838c6b8
144174aad56
15257548dd5
hex1696ee2d0

6063842000 has 80 divisors (see below), whose sum is σ = 15168114000. Its totient is φ = 2341875200.

The previous prime is 6063841981. The next prime is 6063842011. The reversal of 6063842000 is 2483606.

It can be written as a sum of positive squares in 8 ways, for example, as 2272238224 + 3791603776 = 47668^2 + 61576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 5726 + ... + 110274.

It is an arithmetic number, because the mean of its divisors is an integer number (189601425).

Almost surely, 26063842000 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 6063842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584057000).

6063842000 is an abundant number, since it is smaller than the sum of its proper divisors (9104272000).

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

6063842000 is a wasteful number, since it uses less digits than its factorization.

6063842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104601 (or 104585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 6063842000 is about 77870.6748397624. The cubic root of 6063842000 is about 1823.5427912344.

The spelling of 6063842000 in words is "six billion, sixty-three million, eight hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 104549 209098 418196 522745 836392 1045490 1672784 2090980 2613725 3031921 4181960 5227450 6063842 8363920 10454900 12127684 13068625 15159605 20909800 24255368 26137250 30319210 41819600 48510736 52274500 60638420 75798025 104549000 121276840 151596050 209098000 242553680 303192100 378990125 606384200 757980250 1212768400 1515960500 3031921000 6063842000