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14747019840 = 2633571092237
BaseRepresentation
bin11011011101111110…
…11010101001000000
31102001202010020011000
431232333122221000
5220200214113330
610435155452000
71031305412640
oct155677325100
942052106130
1014747019840
116288343303
122a368b7000
131510302057
149dc7b0520
155b49e2560
hex36efdaa40

14747019840 has 448 divisors, whose sum is σ = 60028531200. Its totient is φ = 3338330112.

The previous prime is 14747019839. The next prime is 14747019857. The reversal of 14747019840 is 4891074741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×147470198402 (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6591202 + ... + 6593438.

Almost surely, 214747019840 is an apocalyptic number.

14747019840 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 14747019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30014265600).

14747019840 is an abundant number, since it is smaller than the sum of its proper divisors (45281511360).

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

14747019840 is a wasteful number, since it uses less digits than its factorization.

14747019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 14747019840 in words is "fourteen billion, seven hundred forty-seven million, nineteen thousand, eight hundred forty".