Search a number
-
+
10995478895220 = 2235837193070831
BaseRepresentation
bin1010000000000001010110…
…0111010001101001110100
31102221011020211101202111020
42200000111213101221310
52420122220044121340
635215130412341140
72213253134342661
oct240002547215164
942834224352436
1010995478895220
11355a17a203a86
121296bb77747b0
13619b3b86b321
142a0280d34a68
1514103e7ec9d0
hexa00159d1a74

10995478895220 has 96 divisors (see below), whose sum is σ = 31201618452480. Its totient is φ = 2892770993280.

The previous prime is 10995478895209. The next prime is 10995478895293. The reversal of 10995478895220 is 2259887459901.

It is a super-2 number, since 2×109954788952202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045205 + ... + 5116035.

It is an arithmetic number, because the mean of its divisors is an integer number (325016858880).

Almost surely, 210995478895220 is an apocalyptic number.

10995478895220 is a gapful number since it is divisible by the number (10) 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 10995478895220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600809226240).

10995478895220 is an abundant number, since it is smaller than the sum of its proper divisors (20206139557260).

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

10995478895220 is a wasteful number, since it uses less digits than its factorization.

10995478895220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071645 (or 3071643 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 69.

The spelling of 10995478895220 in words is "ten trillion, nine hundred ninety-five billion, four hundred seventy-eight million, eight hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 719 830 996 1245 1438 1660 2157 2490 2876 3595 4314 4980 7190 8628 10785 14380 21570 43140 59677 119354 179031 238708 298385 358062 596770 716124 895155 1193540 1790310 3070831 3580620 6141662 9212493 12283324 15354155 18424986 30708310 36849972 46062465 61416620 92124930 184249860 254878973 509757946 764636919 1019515892 1274394865 1529273838 2207927489 2548789730 3058547676 3823184595 4415854978 5097579460 6623782467 7646369190 8831709956 11039637445 13247564934 15292738380 22079274890 26495129868 33118912335 44158549780 66237824670 132475649340 183257981587 366515963174 549773944761 733031926348 916289907935 1099547889522 1832579815870 2199095779044 2748869723805 3665159631740 5497739447610 10995478895220