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10623517673 is a prime number
BaseRepresentation
bin10011110010011011…
…00000001111101001
31000102101000121120112
421321031200033221
5133224110031143
64514054504105
7524155260506
oct117115401751
930371017515
1010623517673
11456177607a
122085965035
131003c2b642
1472acac4ad
154229c3e18
hex2793603e9

10623517673 has 2 divisors, whose sum is σ = 10623517674. Its totient is φ = 10623517672.

The previous prime is 10623517657. The next prime is 10623517691. The reversal of 10623517673 is 37671532601.

It is a happy number.

10623517673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7203256384 + 3420261289 = 84872^2 + 58483^2 .

It is a cyclic number.

It is not a de Polignac number, because 10623517673 - 24 = 10623517657 is a prime.

It is a super-2 number, since 2×106235176732 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10623517673.

It is not a weakly prime, because it can be changed into another prime (10623517603) 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 as a sum of consecutive naturals, namely, 5311758836 + 5311758837.

It is an arithmetic number, because the mean of its divisors is an integer number (5311758837).

Almost surely, 210623517673 is an apocalyptic number.

It is an amenable number.

10623517673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10623517673 is an equidigital number, since it uses as much as digits as its factorization.

10623517673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 10623517673 in words is "ten billion, six hundred twenty-three million, five hundred seventeen thousand, six hundred seventy-three".