Search a number
-
+
13899156480 = 21032511171613
BaseRepresentation
bin11001111000111010…
…00100110000000000
31022212122201022021100
430330131010300000
5211431141001410
610215111054400
71001301611046
oct147435046000
938778638240
1013899156480
115992790a90
12283a971400
131406761461
1495bd46396
155653638c0
hex33c744c00

13899156480 has 528 divisors, whose sum is σ = 55663399584. Its totient is φ = 3169320960.

The previous prime is 13899156437. The next prime is 13899156503. The reversal of 13899156480 is 8465199831.

13899156480 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 9 + 156 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×138991564803 (a number of 31 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8616154 + ... + 8617766.

Almost surely, 213899156480 is an apocalyptic number.

13899156480 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 13899156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27831699792).

13899156480 is an abundant number, since it is smaller than the sum of its proper divisors (41764243104).

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

13899156480 is a wasteful number, since it uses less digits than its factorization.

13899156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 13899156480 in words is "thirteen billion, eight hundred ninety-nine million, one hundred fifty-six thousand, four hundred eighty".