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11743713072 = 243471399577
BaseRepresentation
bin10101110111111101…
…01101011100110000
31010022102212102210000
422323332231130300
5143022342304242
65221152310000
7564006625350
oct127376553460
933272772700
1011743713072
114a870244a3
122338b42300
131152030660
147d5986b60
1548aee8a4c
hex2bbfad730

11743713072 has 200 divisors, whose sum is σ = 41833912736. Its totient is φ = 3097211904.

The previous prime is 11743713071. The next prime is 11743713089. The reversal of 11743713072 is 27031734711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11743713071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68148 + ... + 167724.

Almost surely, 211743713072 is an apocalyptic number.

11743713072 is a gapful number since it is divisible by the number (12) 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 11743713072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916956368).

11743713072 is an abundant number, since it is smaller than the sum of its proper divisors (30090199664).

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

11743713072 is a wasteful number, since it uses less digits than its factorization.

11743713072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99617 (or 99602 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 11743713072 in words is "eleven billion, seven hundred forty-three million, seven hundred thirteen thousand, seventy-two".