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10065143298720 = 2535643246713219
BaseRepresentation
bin1001001001110111100101…
…0010100111101010100000
31022122012220010211201000210
42102131321102213222200
52304401403141024340
633223510224014120
72056116430266066
oct222357122475240
938565803751023
1010065143298720
11323066aaa3584
121166838161340
135801a6337c23
1426b226b06036
15126c3dea6180
hex927794a7aa0

10065143298720 has 192 divisors, whose sum is σ = 31769784506880. Its totient is φ = 2678575039488.

The previous prime is 10065143298607. The next prime is 10065143298829. The reversal of 10065143298720 is 2789234156001.

It is a Cunningham number, because it is equal to 31725612-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10065143298720.

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, 761408271 + ... + 761421489.

It is an arithmetic number, because the mean of its divisors is an integer number (165467627640).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10065143298720 = 20130286597440, but 3⋅10065143298720 = 30195429896160 is not.

Almost surely, 210065143298720 is an apocalyptic number.

10065143298720 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 10065143298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884892253440).

10065143298720 is an abundant number, since it is smaller than the sum of its proper divisors (21704641208160).

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

10065143298720 is a wasteful number, since it uses less digits than its factorization.

10065143298720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347 (or 16339 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10065143298720 in words is "ten trillion, sixty-five billion, one hundred forty-three million, two hundred ninety-eight thousand, seven hundred twenty".