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13748743008 = 2534721113757
BaseRepresentation
bin11001100110111110…
…10010101101100000
31022111011200111210000
430303133102231200
5211124134234013
610152135140000
7664464246600
oct146337225540
938434614700
1013748743008
115915897130
1227b8514600
1313b15492c0
14945d90c00
15557051973
hex3337d2b60

13748743008 has 720 divisors, whose sum is σ = 55332368784. Its totient is φ = 3292047360.

The previous prime is 13748743003. The next prime is 13748743031. The reversal of 13748743008 is 80034784731.

13748743008 is a `hidden beast` number, since 137 + 4 + 87 + 430 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748743003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18161766 + ... + 18162522.

Almost surely, 213748743008 is an apocalyptic number.

13748743008 is a gapful number since it is divisible by the number (18) 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 13748743008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27666184392).

13748743008 is an abundant number, since it is smaller than the sum of its proper divisors (41583625776).

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

13748743008 is a wasteful number, since it uses less digits than its factorization.

13748743008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13748743008 in words is "thirteen billion, seven hundred forty-eight million, seven hundred forty-three thousand, eight".