Search a number
-
+
10484950680 = 2332529124863
BaseRepresentation
bin10011100001111001…
…11010011010011000
31000001201021200101200
421300330322122120
5132433121410210
64452224514200
7520553416221
oct116074723230
930051250350
1010484950680
1144a05326a6
12204747b960
13cb1303639
1471671c248
154157520c0
hex270f3a698

10484950680 has 48 divisors (see below), whose sum is σ = 34076090880. Its totient is φ = 2795986752.

The previous prime is 10484950673. The next prime is 10484950703. The reversal of 10484950680 is 8605948401.

10484950680 is a `hidden beast` number, since 1 + 0 + 484 + 95 + 0 + 6 + 80 = 666.

10484950680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 14562072 + ... + 14562791.

It is an arithmetic number, because the mean of its divisors is an integer number (709918560).

Almost surely, 210484950680 is an apocalyptic number.

10484950680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10484950680 is an abundant number, since it is smaller than the sum of its proper divisors (23591140200).

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

10484950680 is a wasteful number, since it uses less digits than its factorization.

10484950680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29124880 (or 29124873 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10484950680 in words is "ten billion, four hundred eighty-four million, nine hundred fifty thousand, six hundred eighty".

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 29124863 58249726 87374589 116499452 145624315 174749178 232998904 262123767 291248630 349498356 436872945 524247534 582497260 698996712 873745890 1048495068 1164994520 1310618835 1747491780 2096990136 2621237670 3494983560 5242475340 10484950680