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17422431964 = 2272295575503
BaseRepresentation
bin10000001110011101…
…010011011011011100
31122222012101020121221
4100032131103123130
5241140120310324
612000451103124
71154513141200
oct201635233334
948865336557
1017422431964
117430566003
1234628a1aa4
13184868a052
14bb3c42b00
156be81c0e4
hex40e7536dc

17422431964 has 72 divisors (see below), whose sum is σ = 36762647040. Its totient is φ = 7195031424.

The previous prime is 17422431959. The next prime is 17422432019. The reversal of 17422431964 is 46913422471.

It is a super-2 number, since 2×174224319642 (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 17422431964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3163237 + ... + 3168739.

It is an arithmetic number, because the mean of its divisors is an integer number (510592320).

Almost surely, 217422431964 is an apocalyptic number.

17422431964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17422431964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381323520).

17422431964 is an abundant number, since it is smaller than the sum of its proper divisors (19340215076).

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

17422431964 is a wasteful number, since it uses less digits than its factorization.

17422431964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107 (or 6098 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The spelling of 17422431964 in words is "seventeen billion, four hundred twenty-two million, four hundred thirty-one thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 557 812 1114 1421 2228 2842 3899 5503 5684 7798 11006 15596 16153 22012 27293 32306 38521 54586 64612 77042 109172 113071 154084 159587 226142 269647 319174 452284 539294 638348 791497 1078588 1117109 1582994 2234218 3065171 3165988 4468436 6130342 7819763 12260684 15639526 21456197 31279052 42912394 85824788 88889959 150193379 177779918 300386758 355559836 600773516 622229713 1244459426 2488918852 4355607991 8711215982 17422431964