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10164492468 = 2233137239667
BaseRepresentation
bin10010111011101100…
…11101100010110100
3222020101021201101000
421131312131202310
5131304102224333
64400340203300
7506612521554
oct113566354264
928211251330
1010164492468
1143466556a9
121b78099530
13c5cac19b0
146c5d41164
153e7551713
hex25dd9d8b4

10164492468 has 48 divisors (see below), whose sum is σ = 28379498560. Its totient is φ = 3127535712.

The previous prime is 10164492463. The next prime is 10164492469. The reversal of 10164492468 is 86429446101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164492463) 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 15 ways as a sum of consecutive naturals, for example, 3618430 + ... + 3621237.

Almost surely, 210164492468 is an apocalyptic number.

10164492468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10164492468 is an abundant number, since it is smaller than the sum of its proper divisors (18215006092).

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

10164492468 is a wasteful number, since it uses less digits than its factorization.

10164492468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239693 (or 7239685 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10164492468 in words is "ten billion, one hundred sixty-four million, four hundred ninety-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 7239667 14479334 21719001 28958668 43438002 65157003 86876004 94115671 130314006 188231342 195471009 260628012 282347013 376462684 390942018 564694026 781884036 847041039 1129388052 1694082078 2541123117 3388164156 5082246234 10164492468