Search a number
-
+
12889689408 = 263417375967
BaseRepresentation
bin11000000000100100…
…10000110101000000
31020021022020001210000
430000102100311000
5202344230030113
65531010440000
7634263360261
oct140022206500
936238201700
1012889689408
115514991482
1225b8893000
1312a558b16b
148a3c52968
15506912373
hex300490d40

12889689408 has 560 divisors, whose sum is σ = 42884994240. Its totient is φ = 3810115584.

The previous prime is 12889689383. The next prime is 12889689457. The reversal of 12889689408 is 80498698821.

It is a super-2 number, since 2×128896894082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192383391 + ... + 192383457.

Almost surely, 212889689408 is an apocalyptic number.

12889689408 is a gapful number since it is divisible by the number (18) 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 12889689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21442497120).

12889689408 is an abundant number, since it is smaller than the sum of its proper divisors (29995304832).

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

12889689408 is a wasteful number, since it uses less digits than its factorization.

12889689408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 12889689408 in words is "twelve billion, eight hundred eighty-nine million, six hundred eighty-nine thousand, four hundred eight".