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13842803728 = 2413535921283
BaseRepresentation
bin11001110010001100…
…00110110000010000
31022201201200021211101
430321012012300100
5211322224204403
610205335154144
71000015614235
oct147106066020
938651607741
1013842803728
1159639a1366
122823b15954
1313c7b90630
1495467778c
1556043171d
hex339186c10

13842803728 has 80 divisors (see below), whose sum is σ = 29928709440. Its totient is φ = 6161905152.

The previous prime is 13842803699. The next prime is 13842803791. The reversal of 13842803728 is 82730824831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639775 + ... + 661057.

It is an arithmetic number, because the mean of its divisors is an integer number (374108868).

Almost surely, 213842803728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13842803728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964354720).

13842803728 is an abundant number, since it is smaller than the sum of its proper divisors (16085905712).

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

13842803728 is a wasteful number, since it uses less digits than its factorization.

13842803728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21416 (or 21410 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 13842803728 in words is "thirteen billion, eight hundred forty-two million, eight hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 59 104 106 118 208 212 236 424 472 689 767 848 944 1378 1534 2756 3068 3127 5512 6136 6254 11024 12272 12508 21283 25016 40651 42566 50032 81302 85132 162604 170264 276679 325208 340528 553358 650416 1106716 1127999 1255697 2213432 2255998 2511394 4426864 4511996 5022788 9023992 10045576 14663987 16324061 18047984 20091152 29327974 32648122 58655948 65296244 66551941 117311896 130592488 133103882 234623792 261184976 266207764 532415528 865175233 1064831056 1730350466 3460700932 6921401864 13842803728