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106663432744 = 231116314815021
BaseRepresentation
bin110001101010110100…
…0101101001000101000
3101012022120001210120001
41203111220231020220
53221421314321434
6121000035312344
710464135135061
oct1432550551050
9335276053501
10106663432744
11412657aa810
121880944b6b4
13a09b18365b
14523c009568
152b94220114
hex18d5a2d228

106663432744 has 64 divisors (see below), whose sum is σ = 219705670080. Its totient is φ = 48143808000.

The previous prime is 106663432703. The next prime is 106663432751. The reversal of 106663432744 is 447234366601.

It is a super-2 number, since 2×1066634327442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106663432694 and 106663432703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21240954 + ... + 21245974.

It is an arithmetic number, because the mean of its divisors is an integer number (3432901095).

Almost surely, 2106663432744 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 106663432744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109852835040).

106663432744 is an abundant number, since it is smaller than the sum of its proper divisors (113042237336).

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

106663432744 is a wasteful number, since it uses less digits than its factorization.

106663432744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 106663432744 in words is "one hundred six billion, six hundred sixty-three million, four hundred thirty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1481 1793 2962 3586 5021 5924 7172 10042 11848 14344 16291 20084 32582 40168 55231 65164 110462 130328 220924 241403 441848 482806 818423 965612 1636846 1931224 2655433 3273692 5310866 6547384 7436101 9002653 10621732 14872202 18005306 21243464 29744404 36010612 59488808 72021224 81797111 163594222 327188444 654376888 1212084463 2424168926 4848337852 9696675704 13332929093 26665858186 53331716372 106663432744