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2161680576 = 263112344501
BaseRepresentation
bin1000000011011000…
…1010000011000000
312120122120202021120
42000312022003000
513411342234301
6554300152240
7104365660506
oct20066120300
95518522246
102161680576
11a0a237680
12503b38680
13285b05a43
14167144676
15c9b9ce36
hex80d8a0c0

2161680576 has 112 divisors (see below), whose sum is σ = 6510820608. Its totient is φ = 626560000.

The previous prime is 2161680539. The next prime is 2161680581. The reversal of 2161680576 is 6750861612.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26326 + ... + 70826.

Almost surely, 22161680576 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 2161680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255410304).

2161680576 is an abundant number, since it is smaller than the sum of its proper divisors (4349140032).

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

2161680576 is a wasteful number, since it uses less digits than its factorization.

2161680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44550 (or 44540 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2161680576 is about 46493.8767581281. The cubic root of 2161680576 is about 1292.9959762987.

The spelling of 2161680576 in words is "two billion, one hundred sixty-one million, six hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 44501 48576 89002 133503 178004 267006 356008 489511 534012 712016 979022 1023523 1068024 1424032 1468533 1958044 2047046 2136048 2848064 2937066 3070569 3916088 4094092 4272096 5874132 6141138 7832176 8188184 8544192 11258753 11748264 12282276 15664352 16376368 22517506 23496528 24564552 31328704 32752736 33776259 45035012 46993056 49129104 65505472 67552518 90070024 93986112 98258208 135105036 180140048 196516416 270210072 360280096 540420144 720560192 1080840288 2161680576