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10226816517 = 331109965769
BaseRepresentation
bin10011000011001000…
…01101011000000101
3222101201120002220010
421201210031120011
5131421031112032
64410444100433
7511300335411
oct114144153005
928351502803
1010226816517
114378853685
121b94b34719
13c6c9a3728
146d0325d41
153ecc62ccc
hex26190d605

10226816517 has 8 divisors (see below), whose sum is σ = 14075618560. Its totient is φ = 6597946080.

The previous prime is 10226816461. The next prime is 10226816581. The reversal of 10226816517 is 71561862201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10226816517 - 28 = 10226816261 is a prime.

It is a super-2 number, since 2×102268165172 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226816617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54982792 + ... + 54982977.

It is an arithmetic number, because the mean of its divisors is an integer number (1759452320).

Almost surely, 210226816517 is an apocalyptic number.

It is an amenable number.

10226816517 is a deficient number, since it is larger than the sum of its proper divisors (3848802043).

10226816517 is a wasteful number, since it uses less digits than its factorization.

10226816517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109965803.

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10226816517 in words is "ten billion, two hundred twenty-six million, eight hundred sixteen thousand, five hundred seventeen".

Divisors: 1 3 31 93 109965769 329897307 3408938839 10226816517