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13828718592 = 21532133607
BaseRepresentation
bin11001110000100000…
…11000000000000000
31022200202011200122200
430320100120000000
5211310122443332
610204113233200
7666455111553
oct147020300000
938622150580
1013828718592
115956a50a57
12281b262800
1313c4c9b530
1495284c69a
1555e09d17c
hex338418000

13828718592 has 192 divisors, whose sum is σ = 43033950960. Its totient is φ = 4253810688.

The previous prime is 13828718591. The next prime is 13828718597. The reversal of 13828718592 is 29581782831.

13828718592 is a `hidden beast` number, since 1 + 38 + 2 + 8 + 7 + 18 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828718591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3832053 + ... + 3835659.

Almost surely, 213828718592 is an apocalyptic number.

13828718592 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 13828718592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21516975480).

13828718592 is an abundant number, since it is smaller than the sum of its proper divisors (29205232368).

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

13828718592 is an equidigital number, since it uses as much as digits as its factorization.

13828718592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3625 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 13828718592 in words is "thirteen billion, eight hundred twenty-eight million, seven hundred eighteen thousand, five hundred ninety-two".