Search a number
-
+
146168474499396 = 223217215599011711
BaseRepresentation
bin100001001111000001111111…
…111111111111100101000100
3201011112120101022021102012100
4201033001333333333211010
5123124311013432440041
61234512511543152100
742534216026311626
oct4117017777774504
9634476338242170
10146168474499396
114263477a283668
121448851a445630
13637382194729b
1428148402d2c16
1511d729ddd96b6
hex84f07ffff944

146168474499396 has 108 divisors (see below), whose sum is σ = 392745909104640. Its totient is φ = 45827357003520.

The previous prime is 146168474499349. The next prime is 146168474499401. The reversal of 146168474499396 is 693994474861641.

146168474499396 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 6 + 84 + 7 + 449 + 9 + 3 + 96 = 666.

It is a super-3 number, since 3×1461684744993963 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11713981 + ... + 20725691.

Almost surely, 2146168474499396 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 146168474499396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196372954552320).

146168474499396 is an abundant number, since it is smaller than the sum of its proper divisors (246577434605244).

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

146168474499396 is a wasteful number, since it uses less digits than its factorization.

146168474499396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013314 (or 9013292 counting only the distinct ones).

The product of its digits is 6772211712, while the sum is 81.

The spelling of 146168474499396 in words is "one hundred forty-six trillion, one hundred sixty-eight billion, four hundred seventy-four million, four hundred ninety-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1559 1734 2601 3118 3468 4677 5202 6236 9354 10404 14031 18708 26503 28062 53006 56124 79509 106012 159018 238527 318036 450551 477054 901102 954108 1351653 1802204 2703306 4054959 5406612 8109918 9011711 16219836 18023422 27035133 36046844 54070266 81105399 108140532 153199087 162210798 306398174 324421596 459597261 612796348 919194522 1378791783 1838389044 2604384479 2757583566 5208768958 5515167132 7813153437 10417537916 14049257449 15626306874 23439460311 28098514898 31252613748 42147772347 46878920622 56197029796 84295544694 93757841244 126443317041 168591089388 238837376633 252886634082 477674753266 505773268164 716512129899 955349506532 1433024259798 2149536389697 2866048519596 4060235402761 4299072779394 8120470805522 8598145558788 12180706208283 16240941611044 24361412416566 36542118624849 48722824833132 73084237249698 146168474499396