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13809942720 = 2637572819
BaseRepresentation
bin11001101110010001…
…10000000011000000
31022122102211210000000
430313020300003000
5211240321131340
610202203000000
7666136401450
oct146710600300
938572753000
1013809942720
115947397402
122814b09000
1313c1126352
14950161d60
1555c5ded30
hex3372300c0

13809942720 has 448 divisors, whose sum is σ = 56385561600. Its totient is φ = 3155438592.

The previous prime is 13809942719. The next prime is 13809942733. The reversal of 13809942720 is 2724990831.

13809942720 is a `hidden beast` number, since 138 + 0 + 99 + 427 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4897471 + ... + 4900289.

Almost surely, 213809942720 is an apocalyptic number.

13809942720 is a gapful number since it is divisible by the number (10) 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 13809942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192780800).

13809942720 is an abundant number, since it is smaller than the sum of its proper divisors (42575618880).

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

13809942720 is an frugal number, since it uses more digits than its factorization.

13809942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13809942720 in words is "thirteen billion, eight hundred nine million, nine hundred forty-two thousand, seven hundred twenty".