Search a number
-
+
10704918852 = 22377316763
BaseRepresentation
bin10011111100001000…
…00001100101000100
31000122001012020000000
421332010001211010
5133410424400402
64530123321300
7526164210645
oct117604014504
930561166000
1010704918852
1145a3713a81
1220a9080230
131017a5c714
14737a1b6cc
15429c02c1c
hex27e101944

10704918852 has 96 divisors (see below), whose sum is σ = 28482706560. Its totient is φ = 3519215424.

The previous prime is 10704918841. The next prime is 10704918881. The reversal of 10704918852 is 25881940701.

10704918852 is a `hidden beast` number, since 10 + 70 + 491 + 8 + 85 + 2 = 666.

It is a super-2 number, since 2×107049188522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10704918798 and 10704918807.

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 31 ways as a sum of consecutive naturals, for example, 630223 + ... + 646985.

It is an arithmetic number, because the mean of its divisors is an integer number (296694860).

Almost surely, 210704918852 is an apocalyptic number.

10704918852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10704918852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241353280).

10704918852 is an abundant number, since it is smaller than the sum of its proper divisors (17777787708).

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

10704918852 is an equidigital number, since it uses as much as digits as its factorization.

10704918852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861 (or 16841 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10704918852 in words is "ten billion, seven hundred four million, nine hundred eighteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 729 876 972 1314 1458 1971 2187 2628 2916 3942 4374 5913 7884 8748 11826 16763 17739 23652 33526 35478 50289 53217 67052 70956 100578 106434 150867 159651 201156 212868 301734 319302 452601 603468 638604 905202 1223699 1357803 1810404 2447398 2715606 3671097 4073409 4894796 5431212 7342194 8146818 11013291 12220227 14684388 16293636 22026582 24440454 33039873 36660681 44053164 48880908 66079746 73321362 99119619 132159492 146642724 198239238 297358857 396478476 594717714 892076571 1189435428 1784153142 2676229713 3568306284 5352459426 10704918852