Search a number
-
+
13150748352 = 2637113131661
BaseRepresentation
bin11000011111101100…
…00111111011000000
31020221111110020022210
430033312013323000
5203413042421402
610012534102120
7643613342130
oct141766077300
936844406283
1013150748352
115639288975
1226701aa940
1313176a3401
148ca7aaac0
1551e7cd06c
hex30fd87ec0

13150748352 has 224 divisors, whose sum is σ = 40484657664. Its totient is φ = 3690086400.

The previous prime is 13150748279. The next prime is 13150748357. The reversal of 13150748352 is 25384705131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 13150748352.

It is not an unprimeable number, because it can be changed into a prime (13150748357) 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, 19894902 + ... + 19895562.

Almost surely, 213150748352 is an apocalyptic number.

13150748352 is a gapful number since it is divisible by the number (12) 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 13150748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20242328832).

13150748352 is an abundant number, since it is smaller than the sum of its proper divisors (27333909312).

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

13150748352 is a wasteful number, since it uses less digits than its factorization.

13150748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 13150748352 in words is "thirteen billion, one hundred fifty million, seven hundred forty-eight thousand, three hundred fifty-two".