Search a number
-
+
13923581952 = 2163767151
BaseRepresentation
bin11001111011110100…
…10000000000000000
31022221100200020201110
430331322100000000
5212003414110302
610221342403320
71002016331250
oct147572200000
938840606643
1013923581952
1159a5554225
122846b90540
13140b833cb7
149612a3960
1556758ab6c
hex33de90000

13923581952 has 272 divisors, whose sum is σ = 43351995392. Its totient is φ = 3892838400.

The previous prime is 13923581951. The next prime is 13923581963. The reversal of 13923581952 is 25918532931.

It is a super-2 number, since 2×139235819522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923581951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92209077 + ... + 92209227.

It is an arithmetic number, because the mean of its divisors is an integer number (159382336).

Almost surely, 213923581952 is an apocalyptic number.

13923581952 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 13923581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21675997696).

13923581952 is an abundant number, since it is smaller than the sum of its proper divisors (29428413440).

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

13923581952 is an frugal number, since it uses more digits than its factorization.

13923581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 230 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The spelling of 13923581952 in words is "thirteen billion, nine hundred twenty-three million, five hundred eighty-one thousand, nine hundred fifty-two".