Search a number
-
+
12950855370 = 233556984299
BaseRepresentation
bin11000000111110111…
…00101111011001010
31020102120022121201000
430003323211323022
5203010404332440
65541033435430
7635635311555
oct140373457312
936376277630
1012950855370
115546469362
12261526bb76
1312b5155a3b
148ac01569c
1550be95730
hex303ee5eca

12950855370 has 64 divisors (see below), whose sum is σ = 34596720000. Its totient is φ = 3447451008.

The previous prime is 12950855299. The next prime is 12950855371. The reversal of 12950855370 is 7355805921.

12950855370 is a `hidden beast` number, since 1 + 2 + 95 + 0 + 8 + 553 + 7 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12950855371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111481 + ... + 195779.

It is an arithmetic number, because the mean of its divisors is an integer number (540573750).

Almost surely, 212950855370 is an apocalyptic number.

12950855370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12950855370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298360000).

12950855370 is an abundant number, since it is smaller than the sum of its proper divisors (21645864630).

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

12950855370 is a wasteful number, since it uses less digits than its factorization.

12950855370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84884 (or 84878 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 12950855370 in words is "twelve billion, nine hundred fifty million, eight hundred fifty-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 569 1138 1707 2845 3414 5121 5690 8535 10242 15363 17070 25605 30726 51210 76815 84299 153630 168598 252897 421495 505794 758691 842990 1264485 1517382 2276073 2528970 3793455 4552146 7586910 11380365 22760730 47966131 95932262 143898393 239830655 287796786 431695179 479661310 719491965 863390358 1295085537 1438983930 2158475895 2590171074 4316951790 6475427685 12950855370