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14991540480 = 283357311999
BaseRepresentation
bin11011111011001000…
…01100000100000000
31102200210020011102000
431331210030010000
5221200313243410
610515332424000
71040334664050
oct157544140400
942623204360
1014991540480
1163a3374284
122aa4778000
13154bb76717
14a23061560
155cb1e2dc0
hex37d90c100

14991540480 has 576 divisors, whose sum is σ = 62791680000. Its totient is φ = 3314442240.

The previous prime is 14991540437. The next prime is 14991540523. The reversal of 14991540480 is 8404519941.

It is a happy number.

14991540480 is a `hidden beast` number, since 1 + 49 + 91 + 5 + 40 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (14991540437) and next prime (14991540523).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7498521 + ... + 7500519.

Almost surely, 214991540480 is an apocalyptic number.

14991540480 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 14991540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395840000).

14991540480 is an abundant number, since it is smaller than the sum of its proper divisors (47800139520).

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

14991540480 is a wasteful number, since it uses less digits than its factorization.

14991540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14991540480 in words is "fourteen billion, nine hundred ninety-one million, five hundred forty thousand, four hundred eighty".