Search a number
-
+
12717670200 = 2335245746381
BaseRepresentation
bin10111101100000100…
…00011111100111000
31012211022112120210020
423312002003330320
5202021210421300
65501543450440
7630104261454
oct136602037470
935738476706
1012717670200
11543687a944
12256b156a20
131278a4ca51
14889075664
154e67838a0
hex2f6083f38

12717670200 has 96 divisors (see below), whose sum is σ = 39511898160. Its totient is φ = 3383884800.

The previous prime is 12717670183. The next prime is 12717670201. The reversal of 12717670200 is 207671721.

It is a happy number.

12717670200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12717670201) by changing a digit.

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, 251010 + ... + 297390.

Almost surely, 212717670200 is an apocalyptic number.

12717670200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12717670200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755949080).

12717670200 is an abundant number, since it is smaller than the sum of its proper divisors (26794227960).

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

12717670200 is a wasteful number, since it uses less digits than its factorization.

12717670200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46857 (or 46848 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 12717670200 in words is "twelve billion, seven hundred seventeen million, six hundred seventy thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 457 600 914 1371 1828 2285 2742 3656 4570 5484 6855 9140 10968 11425 13710 18280 22850 27420 34275 45700 46381 54840 68550 91400 92762 137100 139143 185524 231905 274200 278286 371048 463810 556572 695715 927620 1113144 1159525 1391430 1855240 2319050 2782860 3478575 4638100 5565720 6957150 9276200 13914300 21196117 27828600 42392234 63588351 84784468 105980585 127176702 169568936 211961170 254353404 317941755 423922340 508706808 529902925 635883510 847844680 1059805850 1271767020 1589708775 2119611700 2543534040 3179417550 4239223400 6358835100 12717670200