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10606103352 = 2332132871639
BaseRepresentation
bin10011110000010110…
…00100101100111000
31000101011020212121200
421320023010230320
5133210130301402
64512233334200
7523554251055
oct117013045470
930334225550
1010606103352
114552961479
12207bb67360
131000442100
1472885802c
154211d421c
hex2782c4b38

10606103352 has 72 divisors (see below), whose sum is σ = 31104473400. Its totient is φ = 3263412672.

The previous prime is 10606103341. The next prime is 10606103353. The reversal of 10606103352 is 25330160601.

10606103352 is a `hidden beast` number, since 1 + 0 + 606 + 1 + 0 + 3 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106061033522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10606103353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 423652 + ... + 447987.

It is an arithmetic number, because the mean of its divisors is an integer number (432006575).

Almost surely, 210606103352 is an apocalyptic number.

10606103352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10606103352 is an abundant number, since it is smaller than the sum of its proper divisors (20498370048).

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

10606103352 is a wasteful number, since it uses less digits than its factorization.

10606103352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871677 (or 871657 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 10606103352 its reverse (25330160601), we get a palindrome (35936263953).

The spelling of 10606103352 in words is "ten billion, six hundred six million, one hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 871639 1743278 2614917 3486556 5229834 6973112 7844751 10459668 11331307 15689502 20919336 22662614 31379004 33993921 45325228 62758008 67987842 90650456 101981763 135975684 147306991 203963526 271951368 294613982 407927052 441920973 589227964 815854104 883841946 1178455928 1325762919 1767683892 2651525838 3535367784 5303051676 10606103352