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13923056000 = 2753734359
BaseRepresentation
bin11001111011110000…
…01111100110000000
31022221022200112020202
430331320033212000
5212003300243000
610221323224332
71002012011000
oct147570174600
938838615222
1013923056000
1159a5225057
1228469780a8
13140b6ab799
149611a8000
155674d4dd5
hex33de0f980

13923056000 has 512 divisors, whose sum is σ = 42007680000. Its totient is φ = 4583577600.

The previous prime is 13923055997. The next prime is 13923056039. The reversal of 13923056000 is 65032931.

13923056000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235983971 + ... + 235984029.

It is an arithmetic number, because the mean of its divisors is an integer number (82046250).

Almost surely, 213923056000 is an apocalyptic number.

13923056000 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 13923056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840000).

13923056000 is an abundant number, since it is smaller than the sum of its proper divisors (28084624000).

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

13923056000 is an frugal number, since it uses more digits than its factorization.

13923056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

Adding to 13923056000 its reverse (65032931), we get a palindrome (13988088931).

The spelling of 13923056000 in words is "thirteen billion, nine hundred twenty-three million, fifty-six thousand".