Search a number
-
+
10606166676 = 22337103136207
BaseRepresentation
bin10011110000010110…
…10100001010010100
31000101011101002111000
421320023110022110
5133210134313201
64512234543300
7523554633510
oct117013241224
930334332430
1010606166676
1145529a5006
12207bb97b30
131000464b91
14728873140
154211e7d86
hex2782d4294

10606166676 has 96 divisors (see below), whose sum is σ = 31731015680. Its totient is φ = 3000890592.

The previous prime is 10606166647. The next prime is 10606166689. The reversal of 10606166676 is 67666160601.

It is a super-2 number, since 2×106061666762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9765 + ... + 145971.

Almost surely, 210606166676 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 10606166676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865507840).

10606166676 is an abundant number, since it is smaller than the sum of its proper divisors (21124849004).

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

10606166676 is a wasteful number, since it uses less digits than its factorization.

10606166676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136330 (or 136322 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10606166676 in words is "ten billion, six hundred six million, one hundred sixty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 103 108 126 189 206 252 309 378 412 618 721 756 927 1236 1442 1854 2163 2781 2884 3708 4326 5562 6489 8652 11124 12978 19467 25956 38934 77868 136207 272414 408621 544828 817242 953449 1225863 1634484 1906898 2451726 2860347 3677589 3813796 4903452 5720694 7355178 8581041 11441388 14029321 14710356 17162082 25743123 28058642 34324164 42087963 51486246 56117284 84175926 98205247 102972492 126263889 168351852 196410494 252527778 294615741 378791667 392820988 505055556 589231482 757583334 883847223 1178462964 1515166668 1767694446 2651541669 3535388892 5303083338 10606166676