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618000000820 = 2251731709104513
BaseRepresentation
bin10001111111000111010…
…10111010011100110100
32012002011111000211122021
420333203222322130310
540111131000011240
61151523312442524
762435421222346
oct10774352723464
92162144024567
10618000000820
11219101986634
129b932b49444
134637ab8b277
1421ca8ab1296
151112022654a
hex8fe3aba734

618000000820 has 48 divisors (see below), whose sum is σ = 1306078013520. Its totient is φ = 245624938496.

The previous prime is 618000000817. The next prime is 618000000833. The reversal of 618000000820 is 28000000816.

It can be written as a sum of positive squares in 8 ways, for example, as 31375745424 + 586624255396 = 177132^2 + 765914^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5860884 + ... + 5965396.

It is an arithmetic number, because the mean of its divisors is an integer number (27209958615).

Almost surely, 2618000000820 is an apocalyptic number.

It is an amenable number.

618000000820 is an abundant number, since it is smaller than the sum of its proper divisors (688078012700).

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

618000000820 is a wasteful number, since it uses less digits than its factorization.

618000000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106404 (or 106402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 618000000820 in words is "six hundred eighteen billion, eight hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 173 346 692 865 1709 1730 3418 3460 6836 8545 17090 34180 104513 209026 295657 418052 522565 591314 1045130 1182628 1478285 2090260 2956570 5913140 18080749 36161498 72322996 90403745 178612717 180807490 357225434 361614980 714450868 893063585 1786127170 3572254340 30900000041 61800000082 123600000164 154500000205 309000000410 618000000820