Search a number
-
+
106021649660 = 22547760714827
BaseRepresentation
bin110001010111101100…
…0011111110011111100
3101010122211102211200012
41202233120133303330
53214113020242120
6120412231522352
710442213103263
oct1425730376374
9333584384605
10106021649660
1140a66503673
121866a5293b8
139cc8218754
1451baaa75da
152b57bec1c5
hex18af61fcfc

106021649660 has 48 divisors (see below), whose sum is σ = 227427830784. Its totient is φ = 41498092608.

The previous prime is 106021649639. The next prime is 106021649677. The reversal of 106021649660 is 66946120601.

It is a super-2 number, since 2×1060216496602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7143167 + ... + 7157993.

It is an arithmetic number, because the mean of its divisors is an integer number (4738079808).

Almost surely, 2106021649660 is an apocalyptic number.

106021649660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106021649660 is an abundant number, since it is smaller than the sum of its proper divisors (121406181124).

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

106021649660 is a wasteful number, since it uses less digits than its factorization.

106021649660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22490 (or 22488 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 106021649660 in words is "one hundred six billion, twenty-one million, six hundred forty-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 7607 14827 15214 29654 30428 38035 59308 74135 76070 148270 152140 296540 357529 696869 715058 1393738 1430116 1787645 2787476 3484345 3575290 6968690 7150580 13937380 112788989 225577978 451155956 563944945 1127889890 2255779780 5301082483 10602164966 21204329932 26505412415 53010824830 106021649660