Search a number
-
+
148622113899 = 33719791393769
BaseRepresentation
bin1000101001101010010…
…0010111110001101011
3112012121201201122111000
42022122210113301223
54413334230121044
6152135343410043
713510665060420
oct2123244276153
9465551648430
10148622113899
1158037343a06
12249792b3923
1311026c7433c
14729c797d47
153cecb56d69
hex229a917c6b

148622113899 has 128 divisors (see below), whose sum is σ = 270233600000. Its totient is φ = 78846213888.

The previous prime is 148622113889. The next prime is 148622113901. The reversal of 148622113899 is 998311226841.

It is a happy number.

148622113899 is a `hidden beast` number, since 1 + 4 + 8 + 622 + 1 + 1 + 3 + 8 + 9 + 9 = 666.

148622113899 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 148622113899 - 25 = 148622113867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148622113859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39430887 + ... + 39434655.

It is an arithmetic number, because the mean of its divisors is an integer number (2111200000).

Almost surely, 2148622113899 is an apocalyptic number.

148622113899 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

148622113899 is a deficient number, since it is larger than the sum of its proper divisors (121611486101).

148622113899 is a wasteful number, since it uses less digits than its factorization.

148622113899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4016 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 148622113899 in words is "one hundred forty-eight billion, six hundred twenty-two million, one hundred thirteen thousand, eight hundred ninety-nine".

Divisors: 1 3 7 9 19 21 27 57 63 79 133 139 171 189 237 399 417 513 553 711 973 1197 1251 1501 1659 2133 2641 2919 3591 3753 3769 4503 4977 7923 8757 10507 10981 11307 13509 14931 18487 23769 26271 26383 31521 32943 33921 40527 55461 71307 71611 76867 79149 94563 98829 101763 166383 208639 214833 230601 237447 283689 296487 297751 499149 501277 523891 625917 644499 691803 712341 893253 1460473 1503831 1571673 1877751 1933497 2075409 2084257 2679759 3667237 4381419 4511493 4715019 5633253 5657269 6252771 8039277 9953929 11001711 13144257 13534479 14145057 16971807 18758313 29861787 33005133 39432771 39600883 41387389 50915421 56274939 69677503 89585361 99015399 118802649 124162167 152746263 209032509 268756083 289711723 356407947 372486501 627097527 786360391 869135169 1069223841 1117459503 1881292581 2359081173 2607405507 5504522737 7077243519 7822216521 16513568211 21231730557 49540704633 148622113899