Search a number
-
+
13869849024 = 2638172967
BaseRepresentation
bin11001110101011010…
…10001100111000000
31022210121120100000000
430322231101213000
5211401140132044
610212143000000
71000464525423
oct147255214700
938717510000
1013869849024
115978193949
122830b99000
13140066c775
149580b79ba
155629c4d69
hex33ab519c0

13869849024 has 504 divisors, whose sum is σ = 45892913040. Its totient is φ = 4138573824.

The previous prime is 13869849023. The next prime is 13869849029. The reversal of 13869849024 is 42094896831.

It is a super-3 number, since 3×138698490243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13869849023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207012639 + ... + 207012705.

Almost surely, 213869849024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13869849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22946456520).

13869849024 is an abundant number, since it is smaller than the sum of its proper divisors (32023064016).

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

13869849024 is an frugal number, since it uses more digits than its factorization.

13869849024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13869849024 in words is "thirteen billion, eight hundred sixty-nine million, eight hundred forty-nine thousand, twenty-four".