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10393194240 = 283451113701
BaseRepresentation
bin10011010110111101…
…11000111100000000
3222211022121222020000
421223132320330000
5132241124203430
64435150120000
7515360456562
oct115336707400
928738558200
1010393194240
114453761730
1220207b0000
13c982b80a0
14708475332
1540c679e60
hex26b7b8f00

10393194240 has 720 divisors, whose sum is σ = 43752604896. Its totient is φ = 2322432000.

The previous prime is 10393194233. The next prime is 10393194269. The reversal of 10393194240 is 4249139301.

10393194240 is a `hidden beast` number, since 10 + 393 + 19 + 4 + 240 = 666.

10393194240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 10393194195 and 10393194204.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 14825890 + ... + 14826590.

Almost surely, 210393194240 is an apocalyptic number.

10393194240 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 10393194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876302448).

10393194240 is an abundant number, since it is smaller than the sum of its proper divisors (33359410656).

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

10393194240 is a wasteful number, since it uses less digits than its factorization.

10393194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 10393194240 in words is "ten billion, three hundred ninety-three million, one hundred ninety-four thousand, two hundred forty".