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106963612553 = 7176977128831
BaseRepresentation
bin110001110011110000…
…1110011001110001001
3101020002110220111211202
41203213201303032021
53223030141100203
6121045521233545
710504441463630
oct1434741631611
9336073814752
10106963612553
11413aa1972a6
1218891a928b5
13a118415245
145269c28517
152bb0767388
hex18e7873389

106963612553 has 16 divisors (see below), whose sum is σ = 129454516224. Its totient is φ = 86276935680.

The previous prime is 106963612549. The next prime is 106963612577. The reversal of 106963612553 is 355216369601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106963612553 - 22 = 106963612549 is a prime.

It is a super-2 number, since 2×1069636125532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106963612498 and 106963612507.

It is not an unprimeable number, because it can be changed into a prime (106963612753) 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, 765848 + ... + 894678.

It is an arithmetic number, because the mean of its divisors is an integer number (8090907264).

Almost surely, 2106963612553 is an apocalyptic number.

It is an amenable number.

106963612553 is a deficient number, since it is larger than the sum of its proper divisors (22490903671).

106963612553 is a wasteful number, since it uses less digits than its factorization.

106963612553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135832.

The product of its (nonzero) digits is 874800, while the sum is 47.

The spelling of 106963612553 in words is "one hundred six billion, nine hundred sixty-three million, six hundred twelve thousand, five hundred fifty-three".

Divisors: 1 7 17 119 6977 48839 118609 128831 830263 901817 2190127 15330889 898853887 6291977209 15280516079 106963612553