Search a number
-
+
14870185770 = 23511172155921
BaseRepresentation
bin11011101100101010…
…10000011100101010
31102101022212201001010
431312111100130222
5220423231421040
610455315404350
71034332331166
oct156625203452
942338781033
1014870185770
116340917730
122a6bbb36b6
13152c996cbb
14a10cb1ca6
155c0720e80
hex37655072a

14870185770 has 96 divisors (see below), whose sum is σ = 41357998656. Its totient is φ = 3392819200.

The previous prime is 14870185717. The next prime is 14870185789. The reversal of 14870185770 is 7758107841.

14870185770 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 2×148701857702 (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 47 ways as a sum of consecutive naturals, for example, 17410 + ... + 173330.

It is an arithmetic number, because the mean of its divisors is an integer number (430812486).

Almost surely, 214870185770 is an apocalyptic number.

14870185770 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 14870185770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20678999328).

14870185770 is an abundant number, since it is smaller than the sum of its proper divisors (26487812886).

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

14870185770 is a wasteful number, since it uses less digits than its factorization.

14870185770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155976 (or 155959 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 48.

The spelling of 14870185770 in words is "fourteen billion, eight hundred seventy million, one hundred eighty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 289 330 374 510 561 578 867 935 1122 1445 1734 1870 2805 2890 3179 4335 5610 6358 8670 9537 15895 19074 31790 47685 95370 155921 311842 467763 779605 935526 1559210 1715131 2338815 2650657 3430262 4677630 5145393 5301314 7951971 8575655 10290786 13253285 15903942 17151310 25726965 26506570 29157227 39759855 45061169 51453930 58314454 79519710 87471681 90122338 135183507 145786135 174943362 225305845 270367014 291572270 437358405 450611690 495672859 675917535 874716810 991345718 1351835070 1487018577 2478364295 2974037154 4956728590 7435092885 14870185770