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10343930390784 = 2833101149277359
BaseRepresentation
bin1001011010000110001001…
…0010111110100100000000
31100121212111021221100122000
42112201202102332210000
52323433332140001114
633555534102544000
72115216144416004
oct226414222764400
940555437840560
1010343930390784
113328922049101
1211b0881438000
135a05753c83b3
1427a912832704
1512e1091ade09
hex968624be900

10343930390784 has 576 divisors, whose sum is σ = 31298218560000. Its totient is φ = 3369273753600.

The previous prime is 10343930390771. The next prime is 10343930390819. The reversal of 10343930390784 is 48709303934301.

10343930390784 is a `hidden beast` number, since 10 + 3 + 439 + 30 + 3 + 90 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10343930390784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28813176397 + ... + 28813176755.

It is an arithmetic number, because the mean of its divisors is an integer number (54337185000).

Almost surely, 210343930390784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343930390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649109280000).

10343930390784 is an abundant number, since it is smaller than the sum of its proper divisors (20954288169216).

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

10343930390784 is a wasteful number, since it uses less digits than its factorization.

10343930390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 10343930390784 in words is "ten trillion, three hundred forty-three billion, nine hundred thirty million, three hundred ninety thousand, seven hundred eighty-four".