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10270753717 = 714916360413
BaseRepresentation
bin10011001000010111…
…10100001110110101
3222111210020100101211
421210023310032311
5132013303104332
64415053521421
7512342652250
oct114413641665
928453210354
1010270753717
1143a0633314
121ba77a3271
13c78b18383
146d60c2097
15401a41447
hex2642f43b5

10270753717 has 16 divisors (see below), whose sum is σ = 11889475200. Its totient is φ = 8690628672.

The previous prime is 10270753699. The next prime is 10270753721. The reversal of 10270753717 is 71735707201.

It is a happy number.

10270753717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10270753717 - 223 = 10262365109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10270753717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10270753117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 139803 + ... + 200215.

It is an arithmetic number, because the mean of its divisors is an integer number (743092200).

Almost surely, 210270753717 is an apocalyptic number.

It is an amenable number.

10270753717 is a deficient number, since it is larger than the sum of its proper divisors (1618721483).

10270753717 is a wasteful number, since it uses less digits than its factorization.

10270753717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60732.

The product of its (nonzero) digits is 72030, while the sum is 40.

The spelling of 10270753717 in words is "ten billion, two hundred seventy million, seven hundred fifty-three thousand, seven hundred seventeen".

Divisors: 1 7 149 163 1043 1141 24287 60413 170009 422891 9001537 9847319 63010759 68931233 1467250531 10270753717