Search a number
-
+
10607563800856 = 23112191783323471
BaseRepresentation
bin1001101001011100010000…
…0100101000000100011000
31101120001222100201012111001
42122113010010220010120
52342243242313111411
634321014133514344
72143241214423001
oct232270404500430
941501870635431
1010607563800856
11341a708255100
1212339977a29b4
135bc39ab51a29
142895a1b721a8
15135dd8d46dc1
hex9a5c4128118

10607563800856 has 96 divisors (see below), whose sum is σ = 23025254515200. Its totient is φ = 4565274436800.

The previous prime is 10607563800853. The next prime is 10607563800881. The reversal of 10607563800856 is 65800836570601.

It is a super-2 number, since 2×106075638008562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10607563800797 and 10607563800806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10607563800853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32631201 + ... + 32954671.

It is an arithmetic number, because the mean of its divisors is an integer number (239846401200).

Almost surely, 210607563800856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10607563800856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512627257600).

10607563800856 is an abundant number, since it is smaller than the sum of its proper divisors (12417690714344).

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

10607563800856 is a wasteful number, since it uses less digits than its factorization.

10607563800856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325301 (or 325286 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 10607563800856 in words is "ten trillion, six hundred seven billion, five hundred sixty-three million, eight hundred thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 1783 2299 3566 4598 7132 9196 14264 18392 19613 33877 39226 67754 78452 135508 156904 215743 271016 323471 372647 431486 646942 745294 862972 1293884 1490588 1725944 2587768 2981176 3558181 4099117 6145949 7116362 8198234 12291898 14232724 16396468 24583796 28465448 32792936 39139991 49167592 67605439 78279982 135210878 156559964 270421756 313119928 540843512 576748793 743659829 1153497586 1487319658 2306995172 2974639316 4613990344 5949278632 6344236723 10958227067 12688473446 21916454134 25376946892 43832908268 50753893784 69786603953 87665816536 120540497737 139573207906 241080995474 279146415812 482161990948 558292831624 964323981896 1325945475107 2651890950214 5303781900428 10607563800856