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613289464384 = 2653218472
BaseRepresentation
bin10001110110010101110…
…01101001001001000000
32011122000012022210102211
420323022321221021000
540022004100330014
61145424041351504
762210612302102
oct10731271511100
92148005283384
10613289464384
11217104a06913
129aa39498594
1345aa9cab6bc
142197d23d572
1510e468ebcc4
hex8ecae69240

613289464384 has 63 divisors (see below), whose sum is σ = 1241063658457. Its totient is φ = 300696091904.

The previous prime is 613289464367. The next prime is 613289464421. The reversal of 613289464384 is 483464982316.

The square root of 613289464384 is 783128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 442118606400 + 171170857984 = 664920^2 + 413728^2 .

It is a super-2 number, since 2×6132894643842 (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 332045349 + ... + 332047195.

Almost surely, 2613289464384 is an apocalyptic number.

613289464384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

613289464384 is the 783128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613289464384

613289464384 is an abundant number, since it is smaller than the sum of its proper divisors (627774194073).

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

613289464384 is an frugal number, since it uses more digits than its factorization.

613289464384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 1902 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 58.

The spelling of 613289464384 in words is "six hundred thirteen billion, two hundred eighty-nine million, four hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 1847 2809 3392 3694 5618 7388 11236 14776 22472 29552 44944 59104 89888 97891 118208 179776 195782 391564 783128 1566256 3132512 3411409 5188223 6265024 6822818 10376446 13645636 20752892 27291272 41505784 54582544 83011568 109165088 166023136 180804677 218330176 332046272 361609354 723218708 1446437416 2892874832 5785749664 9582647881 11571499328 19165295762 38330591524 76661183048 153322366096 306644732192 613289464384