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150018303336 = 2331143101130843
BaseRepresentation
bin1000101110110111001…
…0011010010101101000
3112100020000220102022220
42023231302122111220
54424214141201321
6152530100514040
713560410352516
oct2135562322550
9470200812286
10150018303336
115869346a780
12250a89ab920
13111ba2ba535
147391d974b6
153d804e79c6
hex22edc9a568

150018303336 has 128 divisors (see below), whose sum is σ = 422804067840. Its totient is φ = 43962912000.

The previous prime is 150018303319. The next prime is 150018303403. The reversal of 150018303336 is 633303810051.

150018303336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 150018303297 and 150018303306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1081131 + ... + 1211973.

It is an arithmetic number, because the mean of its divisors is an integer number (3303156780).

Almost surely, 2150018303336 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 150018303336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211402033920).

150018303336 is an abundant number, since it is smaller than the sum of its proper divisors (272785764504).

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

150018303336 is a wasteful number, since it uses less digits than its factorization.

150018303336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131007 (or 131003 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

It can be divided in two parts, 150018 and 303336, that added together give a palindrome (453354).

The spelling of 150018303336 in words is "one hundred fifty billion, eighteen million, three hundred three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 101 129 132 172 202 258 264 303 344 404 473 516 606 808 946 1032 1111 1212 1419 1892 2222 2424 2838 3333 3784 4343 4444 5676 6666 8686 8888 11352 13029 13332 17372 26058 26664 34744 47773 52116 95546 104232 130843 143319 191092 261686 286638 382184 392529 523372 573276 785058 1046744 1146552 1439273 1570116 2878546 3140232 4317819 5626249 5757092 8635638 11252498 11514184 13215143 16878747 17271276 22504996 26430286 33757494 34542552 39645429 45009992 52860572 61888739 67514988 79290858 105721144 123777478 135029976 145366573 158581716 185666217 247554956 290733146 317163432 371332434 436099719 495109912 568251149 581466292 742664868 872199438 1136502298 1162932584 1485329736 1704753447 1744398876 2273004596 3409506894 3488797752 4546009192 6250762639 6819013788 12501525278 13638027576 18752287917 25003050556 37504575834 50006101112 75009151668 150018303336