Search a number
-
+
148741584221016 = 233216971217357299
BaseRepresentation
bin100001110100011110011001…
…010010100111001101011000
3201111122120000202011122101100
4201310132121102213031120
5123443440231030033031
61244202535050351400
743221140055133653
oct4164363122471530
9644576022148340
10148741584221016
1143436a51675886
121482314772b560
1364cc36aac3a17
1428a31b99c689a
15122e19b124de6
hex8747994a7358

148741584221016 has 48 divisors (see below), whose sum is σ = 403079175603000. Its totient is φ = 49551311457792.

The previous prime is 148741584221011. The next prime is 148741584221033. The reversal of 148741584221016 is 610122485147841.

148741584221016 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 41 + 584 + 2 + 2 + 1 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148741584221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608556466 + ... + 608800833.

Almost surely, 2148741584221016 is an apocalyptic number.

It is an amenable number.

148741584221016 is an abundant number, since it is smaller than the sum of its proper divisors (254337591381984).

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

148741584221016 is a wasteful number, since it uses less digits than its factorization.

148741584221016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217359008 (or 1217359001 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 148741584221016 in words is "one hundred forty-eight trillion, seven hundred forty-one billion, five hundred eighty-four million, two hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1697 3394 5091 6788 10182 13576 15273 20364 30546 40728 61092 122184 1217357299 2434714598 3652071897 4869429196 7304143794 9738858392 10956215691 14608287588 21912431382 29216575176 43824862764 87649725528 2065855336403 4131710672806 6197566009209 8263421345612 12395132018418 16526842691224 18592698027627 24790264036836 37185396055254 49580528073672 74370792110508 148741584221016