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13811929920 = 263351984137
BaseRepresentation
bin11001101110100000…
…10101001101000000
31022122120120201221000
430313100111031000
5211241323224140
610202313332000
7666162316155
oct146720251500
938576521830
1013811929920
115948524418
122815707000
1313c16709c9
1495051c22c
1555c883a30
hex337415340

13811929920 has 224 divisors, whose sum is σ = 51290524800. Its totient is φ = 3489288192.

The previous prime is 13811929909. The next prime is 13811929927. The reversal of 13811929920 is 2992911831.

It is a super-2 number, since 2×138119299202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13811929927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122092 + ... + 206228.

Almost surely, 213811929920 is an apocalyptic number.

13811929920 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 13811929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25645262400).

13811929920 is an abundant number, since it is smaller than the sum of its proper divisors (37478594880).

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

13811929920 is a wasteful number, since it uses less digits than its factorization.

13811929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84182 (or 84166 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 13811929920 in words is "thirteen billion, eight hundred eleven million, nine hundred twenty-nine thousand, nine hundred twenty".