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14669929440 = 25365173727
BaseRepresentation
bin11011010100110010…
…10101101111100000
31101212101001122000000
431222121111233200
5220021000220230
610423403300000
71026351225405
oct155231255740
941771048000
1014669929440
11624887a131
122a14b1a600
1314ca35012a
149d24642ac
155acd65b60
hex36a655be0

14669929440 has 336 divisors, whose sum is σ = 52335043488. Its totient is φ = 3884018688.

The previous prime is 14669929409. The next prime is 14669929441. The reversal of 14669929440 is 4492996641.

It is a happy number.

14669929440 is a `hidden beast` number, since 1 + 466 + 9 + 92 + 94 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14669929441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20178357 + ... + 20179083.

It is an arithmetic number, because the mean of its divisors is an integer number (155759058).

Almost surely, 214669929440 is an apocalyptic number.

14669929440 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 14669929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26167521744).

14669929440 is an abundant number, since it is smaller than the sum of its proper divisors (37665114048).

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

14669929440 is an equidigital number, since it uses as much as digits as its factorization.

14669929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 14669929440 in words is "fourteen billion, six hundred sixty-nine million, nine hundred twenty-nine thousand, four hundred forty".