Search a number
-
+
13901686080 = 263517289563
BaseRepresentation
bin11001111001001101…
…01110010101000000
31022212211110211020020
430330212232111000
5211432312423310
610215241213440
71001332245012
oct147446562500
938784424206
1013901686080
115994159567
12283b791280
131407138969
1495c4041b2
155656b3170
hex33c9ae540

13901686080 has 336 divisors, whose sum is σ = 47497959360. Its totient is φ = 3443720192.

The previous prime is 13901686061. The next prime is 13901686087. The reversal of 13901686080 is 8068610931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13901686087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24691879 + ... + 24692441.

Almost surely, 213901686080 is an apocalyptic number.

13901686080 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 13901686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748979680).

13901686080 is an abundant number, since it is smaller than the sum of its proper divisors (33596273280).

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

13901686080 is a wasteful number, since it uses less digits than its factorization.

13901686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 13901686080 in words is "thirteen billion, nine hundred one million, six hundred eighty-six thousand, eighty".