Search a number
-
+
10673697960 = 23325132722343
BaseRepresentation
bin10011111000011001…
…11011010010101000
31000112212110000222200
421330030323102220
5133324431313320
64523050220200
7525334635642
oct117414732250
930485400880
1010673697960
11458802a292
12209a724660
13101144ab13
14733811892
154270d7290
hex27c33b4a8

10673697960 has 96 divisors (see below), whose sum is σ = 34717213440. Its totient is φ = 2844047232.

The previous prime is 10673697959. The next prime is 10673697971. The reversal of 10673697960 is 6979637601.

10673697960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106736979602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10673697897 and 10673697906.

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 23 ways as a sum of consecutive naturals, for example, 466549 + ... + 488891.

It is an arithmetic number, because the mean of its divisors is an integer number (361637640).

Almost surely, 210673697960 is an apocalyptic number.

10673697960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10673697960 is an abundant number, since it is smaller than the sum of its proper divisors (24043515480).

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

10673697960 is a wasteful number, since it uses less digits than its factorization.

10673697960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23687 (or 23680 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 10673697960 in words is "ten billion, six hundred seventy-three million, six hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1327 2654 3981 5308 6635 7962 10616 11943 13270 15924 19905 22343 23886 26540 31848 39810 44686 47772 53080 59715 67029 79620 89372 95544 111715 119430 134058 159240 178744 201087 223430 238860 268116 335145 402174 446860 477720 536232 670290 804348 893720 1005435 1340580 1608696 2010870 2681160 4021740 8043480 29649161 59298322 88947483 118596644 148245805 177894966 237193288 266842449 296491610 355789932 444737415 533684898 592983220 711579864 889474830 1067369796 1185966440 1334212245 1778949660 2134739592 2668424490 3557899320 5336848980 10673697960