Search a number
-
+
122506613166 = 23759131377387
BaseRepresentation
bin111001000010111110…
…1101001000110101110
3102201012200210202100010
41302011331221012232
54001343143110131
6132140113514050
711564554013340
oct1620575510656
9381180722303
10122506613166
1147a55875753
121b8ab272926
13b7245c0922
145d021d9290
1532c008ab46
hex1c85f691ae

122506613166 has 64 divisors (see below), whose sum is σ = 286935644160. Its totient is φ = 34145885280.

The previous prime is 122506613147. The next prime is 122506613167. The reversal of 122506613166 is 661316605221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122506613167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135925 + ... + 513311.

It is an arithmetic number, because the mean of its divisors is an integer number (4483369440).

Almost surely, 2122506613166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122506613166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143467822080).

122506613166 is an abundant number, since it is smaller than the sum of its proper divisors (164429030994).

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

122506613166 is a wasteful number, since it uses less digits than its factorization.

122506613166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377589.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 122506613166 in words is "one hundred twenty-two billion, five hundred six million, six hundred thirteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 59 118 131 177 262 354 393 413 786 826 917 1239 1834 2478 2751 5502 7729 15458 23187 46374 54103 108206 162309 324618 377387 754774 1132161 2264322 2641709 5283418 7925127 15850254 22265833 44531666 49437697 66797499 98875394 133594998 148313091 155860831 296626182 311721662 346063879 467582493 692127758 935164986 1038191637 2076383274 2916824123 5833648246 8750472369 17500944738 20417768861 40835537722 61253306583 122506613166