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3848122368 = 21232472221
BaseRepresentation
bin1110010101011101…
…1011000000000000
3100221011220212111200
43211113123000000
530340104403433
61433502341200
7164234333436
oct34527330000
910834825450
103848122368
1116a518a322
128b488a800
13494315cac
142870dad56
15177c74613
hexe55db000

3848122368 has 156 divisors (see below), whose sum is σ = 11357050848. Its totient is φ = 1254850560.

The previous prime is 3848122339. The next prime is 3848122381. The reversal of 3848122368 is 8632218483.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1731498 + ... + 1733718.

It is an arithmetic number, because the mean of its divisors is an integer number (72801608).

Almost surely, 23848122368 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 3848122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678525424).

3848122368 is an abundant number, since it is smaller than the sum of its proper divisors (7508928480).

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

3848122368 is a wasteful number, since it uses less digits than its factorization.

3848122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2273 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3848122368 is about 62033.2359949084. The cubic root of 3848122368 is about 1567.0503759903.

The spelling of 3848122368 in words is "three billion, eight hundred forty-eight million, one hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1024 1128 1152 1504 1536 1692 2048 2221 2256 2304 3008 3072 3384 4096 4442 4512 4608 6016 6144 6663 6768 8884 9024 9216 12032 12288 13326 13536 17768 18048 18432 19989 24064 26652 27072 35536 36096 36864 39978 48128 53304 54144 71072 72192 79956 96256 104387 106608 108288 142144 144384 159912 192512 208774 213216 216576 284288 288768 313161 319824 417548 426432 433152 568576 577536 626322 639648 835096 852864 866304 939483 1137152 1252644 1279296 1670192 1705728 1732608 1878966 2274304 2505288 2558592 3340384 3411456 3757932 4548608 5010576 5117184 6680768 6822912 7515864 9097216 10021152 10234368 13361536 13645824 15031728 20042304 20468736 26723072 27291648 30063456 40084608 40937472 53446144 60126912 80169216 81874944 106892288 120253824 160338432 213784576 240507648 320676864 427569152 481015296 641353728 962030592 1282707456 1924061184 3848122368