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13879741392 = 2434111757271
BaseRepresentation
bin11001110110100110…
…00000101111010000
31022211022011220210000
430323103000233100
5211411203211032
610213135010000
71000644566226
oct147323005720
938738156700
1013879741392
115982830160
122834369900
13140272433a
14959530b16
155637cae7c
hex33b4c0bd0

13879741392 has 200 divisors, whose sum is σ = 46402690752. Its totient is φ = 3958502400.

The previous prime is 13879741313. The next prime is 13879741427. The reversal of 13879741392 is 29314797831.

13879741392 is a `hidden beast` number, since 138 + 7 + 9 + 7 + 413 + 92 = 666.

It is a super-2 number, since 2×138797413922 (a number of 21 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213717 + ... + 270987.

Almost surely, 213879741392 is an apocalyptic number.

13879741392 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 13879741392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201345376).

13879741392 is an abundant number, since it is smaller than the sum of its proper divisors (32522949360).

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

13879741392 is a wasteful number, since it uses less digits than its factorization.

13879741392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57319 (or 57304 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 13879741392 in words is "thirteen billion, eight hundred seventy-nine million, seven hundred forty-one thousand, three hundred ninety-two".