Search a number
-
+
10476986280 = 2335731196003
BaseRepresentation
bin10011100000111101…
…00001111110101000
31000001011022001021220
421300132201332220
5132424102030110
64451342102040
7520425625335
oct116036417650
930034261256
1010476986280
114496a92952
12204487a920
13cac775487
1471564798c
15414bcc370
hex2707a1fa8

10476986280 has 64 divisors (see below), whose sum is σ = 31861546560. Its totient is φ = 2755588608.

The previous prime is 10476986263. The next prime is 10476986323. The reversal of 10476986280 is 8268967401.

10476986280 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 2×104769862802 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 589242 + ... + 606761.

It is an arithmetic number, because the mean of its divisors is an integer number (497836665).

Almost surely, 210476986280 is an apocalyptic number.

10476986280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10476986280 is an abundant number, since it is smaller than the sum of its proper divisors (21384560280).

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

10476986280 is a wasteful number, since it uses less digits than its factorization.

10476986280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196090 (or 1196086 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 10476986280 in words is "ten billion, four hundred seventy-six million, nine hundred eighty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 1196003 2392006 3588009 4784012 5980015 7176018 9568024 11960030 14352036 17940045 23920060 28704072 35880090 47840120 71760180 87308219 143520360 174616438 261924657 349232876 436541095 523849314 698465752 873082190 1047698628 1309623285 1746164380 2095397256 2619246570 3492328760 5238493140 10476986280