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2056078336 = 2101321092
BaseRepresentation
bin111101010001101…
…0100010000000000
312022021212121020111
41322203110100000
513202324001321
6540004521104
7101644243324
oct17243242000
95267777214
102056078336
1196566a0a4
124946b0194
13269c80300
141570d5984
15c078d5e1
hex7a8d4400

2056078336 has 99 divisors (see below), whose sum is σ = 4491840591. Its totient is φ = 940253184.

The previous prime is 2056078319. The next prime is 2056078351. The reversal of 2056078336 is 6338706502.

The square root of 2056078336 is 45344.

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 71910400 + 1984167936 = 8480^2 + 44544^2 .

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, 18863050 + ... + 18863158.

Almost surely, 22056078336 is an apocalyptic number.

2056078336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2056078336 is the 45344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056078336

2056078336 is an abundant number, since it is smaller than the sum of its proper divisors (2435762255).

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

2056078336 is an equidigital number, since it uses as much as digits as its factorization.

2056078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The cubic root of 2056078336 is about 1271.5883852039.

The spelling of 2056078336 in words is "two billion, fifty-six million, seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 169 208 218 256 338 416 436 512 676 832 872 1024 1352 1417 1664 1744 2704 2834 3328 3488 5408 5668 6656 6976 10816 11336 11881 13312 13952 18421 21632 22672 23762 27904 36842 43264 45344 47524 55808 73684 86528 90688 95048 111616 147368 154453 173056 181376 190096 294736 308906 362752 380192 589472 617812 725504 760384 1178944 1235624 1451008 1520768 2007889 2357888 2471248 3041536 4015778 4715776 4942496 6083072 8031556 9431552 9884992 12166144 16063112 18863104 19769984 32126224 39539968 64252448 79079936 128504896 158159872 257009792 514019584 1028039168 2056078336