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2094429312 = 2734238783
BaseRepresentation
bin111110011010110…
…0111010010000000
312101222001000220000
41330311213102000
513242133214222
6543454520000
7102621232623
oct17465472200
95358030800
102094429312
11985283818
124a5506000
13274bba3b1
1415c239dba
15c3d169ac
hex7cd67480

2094429312 has 160 divisors (see below), whose sum is σ = 6504727680. Its totient is φ = 667713024.

The previous prime is 2094429307. The next prime is 2094429319. The reversal of 2094429312 is 2139244902.

2094429312 is a `hidden beast` number, since 209 + 442 + 9 + 3 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2094429319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234073 + ... + 242855.

It is an arithmetic number, because the mean of its divisors is an integer number (40654548).

Almost surely, 22094429312 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 2094429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252363840).

2094429312 is an abundant number, since it is smaller than the sum of its proper divisors (4410298368).

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

2094429312 is an equidigital number, since it uses as much as digits as its factorization.

2094429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8832 (or 8811 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2094429312 is about 45764.9353981845. The cubic root of 2094429312 is about 1279.4458278158.

The spelling of 2094429312 in words is "two billion, ninety-four million, four hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 276 288 324 368 384 414 432 552 576 621 648 736 828 864 1104 1152 1242 1296 1472 1656 1728 1863 2208 2484 2592 2944 3312 3456 3726 4416 4968 5184 6624 7452 8783 8832 9936 10368 13248 14904 17566 19872 26349 26496 29808 35132 39744 52698 59616 70264 79047 79488 105396 119232 140528 158094 202009 210792 237141 238464 281056 316188 404018 421584 474282 562112 606027 632376 711423 808036 843168 948564 1124224 1212054 1264752 1422846 1616072 1686336 1818081 1897128 2424108 2529504 2845692 3232144 3372672 3636162 3794256 4848216 5059008 5454243 5691384 6464288 7272324 7588512 9696432 10118016 10908486 11382768 12928576 14544648 15177024 16362729 19392864 21816972 22765536 25857152 29089296 30354048 32725458 38785728 43633944 45531072 58178592 65450916 77571456 87267888 91062144 116357184 130901832 174535776 232714368 261803664 349071552 523607328 698143104 1047214656 2094429312