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10224465693 = 313289347653
BaseRepresentation
bin10011000010110110…
…01111011100011101
3222101120010200011120
421201123033130131
5131414430400233
64410321441153
7511241344611
oct114133173435
928346120146
1010224465693
114377498452
121b941a01b9
13c6c35c700
146cdcb3341
153ec94b4b3
hex2616cf71d

10224465693 has 48 divisors (see below), whose sum is σ = 14993760960. Its totient is φ = 6193853952.

The previous prime is 10224465679. The next prime is 10224465709. The reversal of 10224465693 is 39656442201.

It is not a de Polignac number, because 10224465693 - 217 = 10224334621 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224465893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15657355 + ... + 15658007.

It is an arithmetic number, because the mean of its divisors is an integer number (312370020).

Almost surely, 210224465693 is an apocalyptic number.

10224465693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10224465693 is a deficient number, since it is larger than the sum of its proper divisors (4769295267).

10224465693 is a wasteful number, since it uses less digits than its factorization.

10224465693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 10224465693 in words is "ten billion, two hundred twenty-four million, four hundred sixty-five thousand, six hundred ninety-three".

Divisors: 1 3 13 39 89 169 267 347 507 653 1041 1157 1959 3471 4511 8489 13533 15041 25467 30883 45123 58117 58643 92649 110357 174351 175929 226591 331071 401479 679773 755521 1204437 2266563 2945683 5219227 8837049 9821773 15657681 20166599 29465319 38293879 60499797 114881637 262165787 786497361 3408155231 10224465693