Search a number
-
+
12985863360 = 263537973769
BaseRepresentation
bin11000001100000010…
…01000110011000000
31020112000012012122020
430012001020303000
5203043340111420
65544324041440
7636542005641
oct140601106300
936460165566
1012985863360
1155641aa388
122624b33280
1312bc492322
148b29296c8
155100ad340
hex306048cc0

12985863360 has 224 divisors, whose sum is σ = 42792335040. Its totient is φ = 3333685248.

The previous prime is 12985863313. The next prime is 12985863377. The reversal of 12985863360 is 6336858921.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3443556 + ... + 3447324.

It is an arithmetic number, because the mean of its divisors is an integer number (191037210).

Almost surely, 212985863360 is an apocalyptic number.

12985863360 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 12985863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396167520).

12985863360 is an abundant number, since it is smaller than the sum of its proper divisors (29806471680).

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

12985863360 is a wasteful number, since it uses less digits than its factorization.

12985863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 12985863360 in words is "twelve billion, nine hundred eighty-five million, eight hundred sixty-three thousand, three hundred sixty".