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14734544640 = 2835171311723
BaseRepresentation
bin11011011100011111…
…10100111100000000
31102000212122102101120
431232033310330000
5220134020412030
610434032232240
71031064364044
oct155617647400
942025572346
1014734544640
1162812a2522
122a3269b680
13150a85498a
149dac84024
155b387b010
hex36e3f4f00

14734544640 has 288 divisors, whose sum is σ = 50236091136. Its totient is φ = 3667722240.

The previous prime is 14734544639. The next prime is 14734544651. The reversal of 14734544640 is 4644543741.

It is a junction number, because it is equal to n+sod(n) for n = 14734544592 and 14734544601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8550819 + ... + 8552541.

It is an arithmetic number, because the mean of its divisors is an integer number (174430872).

Almost surely, 214734544640 is an apocalyptic number.

14734544640 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 14734544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118045568).

14734544640 is an abundant number, since it is smaller than the sum of its proper divisors (35501546496).

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

14734544640 is a wasteful number, since it uses less digits than its factorization.

14734544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 14734544640 in words is "fourteen billion, seven hundred thirty-four million, five hundred forty-four thousand, six hundred forty".