Search a number
-
+
13893199680 = 2635172337013
BaseRepresentation
bin11001111000001100…
…10110011101000000
31022212020111200002010
430330012112131000
5211423124342210
610214335252520
71001200151223
oct147406263500
938766450063
1013893199680
11598a392608
12283897a140
131405457019
1495b2355ba
15564a88920
hex33c196740

13893199680 has 224 divisors, whose sum is σ = 48737666304. Its totient is φ = 3335225344.

The previous prime is 13893199669. The next prime is 13893199687. The reversal of 13893199680 is 8699139831.

It is a self number, because there is not a number n which added to its sum of digits gives 13893199680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13893199687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356854 + ... + 393866.

Almost surely, 213893199680 is an apocalyptic number.

13893199680 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 13893199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368833152).

13893199680 is an abundant number, since it is smaller than the sum of its proper divisors (34844466624).

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

13893199680 is a wasteful number, since it uses less digits than its factorization.

13893199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37073 (or 37063 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The spelling of 13893199680 in words is "thirteen billion, eight hundred ninety-three million, one hundred ninety-nine thousand, six hundred eighty".