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2382068736 = 210363191
BaseRepresentation
bin1000110111111011…
…0111110000000000
320011000021122000000
42031332313300000
514334302144421
61032212000000
7113013151545
oct21576676000
96130248000
102382068736
111012685553
12565900000
132bc67b038
14188512bcc
15de1d3226
hex8dfb7c00

2382068736 has 154 divisors (see below), whose sum is σ = 7141688232. Its totient is φ = 793774080.

The previous prime is 2382068723. The next prime is 2382068749. The reversal of 2382068736 is 6378602832.

2382068736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2382068723) and next prime (2382068749).

It is a super-3 number, since 3×23820687363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2382068691 and 2382068700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 744901 + ... + 748091.

Almost surely, 22382068736 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 2382068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570844116).

2382068736 is an abundant number, since it is smaller than the sum of its proper divisors (4759619496).

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

2382068736 is an frugal number, since it uses more digits than its factorization.

2382068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2382068736 is about 48806.4415420752. The cubic root of 2382068736 is about 1335.5231783540.

The spelling of 2382068736 in words is "two billion, three hundred eighty-two million, sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3191 3456 3888 4608 5184 5832 6382 6912 7776 9216 9573 10368 11664 12764 13824 15552 19146 20736 23328 25528 27648 28719 31104 38292 41472 46656 51056 57438 62208 76584 82944 86157 93312 102112 114876 124416 153168 172314 186624 204224 229752 248832 258471 306336 344628 373248 408448 459504 516942 612672 689256 746496 775413 816896 919008 1033884 1225344 1378512 1550826 1633792 1838016 2067768 2326239 2450688 2757024 3101652 3267584 3676032 4135536 4652478 4901376 5514048 6203304 7352064 8271072 9304956 9802752 11028096 12406608 14704128 16542144 18609912 22056192 24813216 29408256 33084288 37219824 44112384 49626432 66168576 74439648 88224768 99252864 132337152 148879296 198505728 264674304 297758592 397011456 595517184 794022912 1191034368 2382068736