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14768552448 = 29351323397
BaseRepresentation
bin11011100000100011…
…00011101000000000
31102010020122012100000
431300101203220000
5220221222134243
610441245200000
71031656424136
oct156021435000
942106565300
1014768552448
116299510051
122a41b60000
131514900c40
14a015b7756
155b68475d3
hex370463a00

14768552448 has 480 divisors, whose sum is σ = 49796562816. Its totient is φ = 4335648768.

The previous prime is 14768552431. The next prime is 14768552453. The reversal of 14768552448 is 84425586741.

14768552448 is a `hidden beast` number, since 1 + 4 + 76 + 8 + 5 + 524 + 48 = 666.

It is a super-2 number, since 2×147685524482 (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 junction number, because it is equal to n+sod(n) for n = 14768552394 and 14768552403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37200186 + ... + 37200582.

Almost surely, 214768552448 is an apocalyptic number.

14768552448 is a gapful number since it is divisible by the number (18) 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 14768552448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24898281408).

14768552448 is an abundant number, since it is smaller than the sum of its proper divisors (35028010368).

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

14768552448 is an equidigital number, since it uses as much as digits as its factorization.

14768552448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 438 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 14768552448 in words is "fourteen billion, seven hundred sixty-eight million, five hundred fifty-two thousand, four hundred forty-eight".