Search a number
-
+
491593667112 = 233317320941719
BaseRepresentation
bin1110010011101010100…
…01000001001000101000
31201222220000012202102000
413021311101001020220
531023240434321422
61013500210211000
750342102140242
oct7116521011050
91658800182360
10491593667112
1117a53589a149
127b335883a60
13374846899c2
1419b169c7092
15cbc2b22cac
hex7275441228

491593667112 has 128 divisors (see below), whose sum is σ = 1446348960000. Its totient is φ = 154173708288.

The previous prime is 491593667101. The next prime is 491593667141. The reversal of 491593667112 is 211766395194.

491593667112 is a `hidden beast` number, since 49 + 1 + 593 + 6 + 6 + 7 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11762589 + ... + 11804307.

It is an arithmetic number, because the mean of its divisors is an integer number (11299601250).

Almost surely, 2491593667112 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 491593667112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723174480000).

491593667112 is an abundant number, since it is smaller than the sum of its proper divisors (954755292888).

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

491593667112 is a wasteful number, since it uses less digits than its factorization.

491593667112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44960 (or 44950 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 491593667112 in words is "four hundred ninety-one billion, five hundred ninety-three million, six hundred sixty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3209 3672 6418 9627 12836 19254 25672 28881 38508 41719 54553 57762 77016 83438 86643 109106 115524 125157 163659 166876 173286 218212 231048 250314 327318 333752 346572 375471 436424 490977 500628 654636 693144 709223 750942 981954 1001256 1126413 1309272 1418446 1472931 1501884 1963908 2127669 2252826 2836892 2945862 3003768 3927816 4255338 4505652 5673784 5891724 6383007 8510676 9011304 11783448 12766014 17021352 19149021 25532028 38298042 51064056 76596084 133876271 153192168 267752542 401628813 535505084 803257626 1071010168 1204886439 1606515252 2275896607 2409772878 3213030504 3614659317 4551793214 4819545756 6827689821 7229318634 9103586428 9639091512 13655379642 14458637268 18207172856 20483069463 27310759284 28917274536 40966138926 54621518568 61449208389 81932277852 122898416778 163864555704 245796833556 491593667112