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5840627776 = 264122332
BaseRepresentation
bin1010111000010000…
…01110100001000000
3120002001011122002021
411130020032201000
543430200042101
62403320531224
7264510342214
oct53410164100
916061148067
105840627776
112527978105
121170020b14
13721067c89
143d59a4944
15242b565a1
hex15c20e840

5840627776 has 63 divisors (see below), whose sum is σ = 11930777383. Its totient is φ = 2836858880.

The previous prime is 5840627761. The next prime is 5840627789. The reversal of 5840627776 is 6777260485.

The square root of 5840627776 is 76424.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3481000000 + 2359627776 = 59000^2 + 48576^2 .

It is a super-2 number, since 2×58406277762 = 68225865635565412352, which 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 (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25066956 + ... + 25067188.

Almost surely, 25840627776 is an apocalyptic number.

5840627776 is the 76424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5840627776

5840627776 is an abundant number, since it is smaller than the sum of its proper divisors (6090149607).

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

5840627776 is an frugal number, since it uses more digits than its factorization.

5840627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The cubic root of 5840627776 is about 1800.8871939188.

It can be divided in two parts, 5840 and 627776, that added together give a square (633616 = 7962).

The spelling of 5840627776 in words is "five billion, eight hundred forty million, six hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 233 328 466 656 932 1312 1681 1864 2624 3362 3728 6724 7456 9553 13448 14912 19106 26896 38212 53792 54289 76424 107584 108578 152848 217156 305696 391673 434312 611392 783346 868624 1566692 1737248 2225849 3133384 3474496 4451698 6266768 8903396 12533536 17806792 25067072 35613584 71227168 91259809 142454336 182519618 365039236 730078472 1460156944 2920313888 5840627776