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14397969096 = 23327231472801
BaseRepresentation
bin11010110100010111…
…11001001011001000
31101011102022121112200
431122023321023020
5213441340002341
610340410240200
71016536501200
oct153213711310
941142277480
1014397969096
116119307315
122959a26060
131485bbbc54
149a82ad400
15594044db6
hex35a2f92c8

14397969096 has 288 divisors, whose sum is σ = 47837537280. Its totient is φ = 3894912000.

The previous prime is 14397969083. The next prime is 14397969101. The reversal of 14397969096 is 69096979341.

14397969096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 5138896 + ... + 5141696.

It is an arithmetic number, because the mean of its divisors is an integer number (166102560).

Almost surely, 214397969096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14397969096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23918768640).

14397969096 is an abundant number, since it is smaller than the sum of its proper divisors (33439568184).

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

14397969096 is a wasteful number, since it uses less digits than its factorization.

14397969096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 14397969096 in words is "fourteen billion, three hundred ninety-seven million, nine hundred sixty-nine thousand, ninety-six".