Search a number
-
+
21706060712 = 2371923792833
BaseRepresentation
bin10100001101110010…
…000011001110101000
32002000201210010120112
4110031302003032220
5323423222420322
613545512113452
71365616320560
oct241562031650
962021703515
1021706060712
119229561756
124259395888
13207bc96a0b
14109cb07da0
1587091a5e2
hex50dc833a8

21706060712 has 96 divisors (see below), whose sum is σ = 49236782400. Its totient is φ = 8786631168.

The previous prime is 21706060699. The next prime is 21706060723.

21706060712 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7660448 + ... + 7663280.

It is an arithmetic number, because the mean of its divisors is an integer number (512883150).

Almost surely, 221706060712 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 21706060712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24618391200).

21706060712 is an abundant number, since it is smaller than the sum of its proper divisors (27530721688).

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

21706060712 is a wasteful number, since it uses less digits than its factorization.

21706060712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

It can be divided in two parts, 217060 and 60712, that added together give a palindrome (277772).

The spelling of 21706060712 in words is "twenty-one billion, seven hundred six million, sixty thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 379 532 722 758 1064 1444 1516 2527 2653 2833 2888 3032 5054 5306 5666 7201 10108 10612 11332 14402 19831 20216 21224 22664 28804 39662 50407 53827 57608 79324 100814 107654 136819 158648 201628 215308 273638 376789 403256 430616 547276 753578 957733 1022713 1073707 1094552 1507156 1915466 2045426 2147414 3014312 3830932 4090852 4294828 7158991 7515949 7661864 8181704 8589656 14317982 15031898 20400433 28635964 30063796 40800866 57271928 60127592 81601732 142803031 163203464 285606062 387608227 571212124 775216454 1142424248 1550432908 2713257589 3100865816 5426515178 10853030356 21706060712