Search a number
-
+
150055251522 = 231129478272017
BaseRepresentation
bin1000101110111111111…
…1010110111001000010
3112100022121102120201020
42023233333112321002
54424303121022042
6152533500450310
713561336410261
oct2135777267102
9470277376636
10150055251522
1158702306470
12250b9249996
13111c4b55c77
147396c545d8
153d838953ec
hex22effd6e42

150055251522 has 128 divisors (see below), whose sum is σ = 346478653440. Its totient is φ = 42895964160.

The previous prime is 150055251497. The next prime is 150055251529. The reversal of 150055251522 is 225152550051.

It is a happy number.

150055251522 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (150055251529) 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 63 ways as a sum of consecutive naturals, for example, 74394258 + ... + 74396274.

It is an arithmetic number, because the mean of its divisors is an integer number (2706864480).

Almost surely, 2150055251522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150055251522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173239326720).

150055251522 is an abundant number, since it is smaller than the sum of its proper divisors (196423401918).

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

150055251522 is a wasteful number, since it uses less digits than its factorization.

150055251522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936.

The product of its (nonzero) digits is 25000, while the sum is 33.

The spelling of 150055251522 in words is "one hundred fifty billion, fifty-five million, two hundred fifty-one thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 47 58 66 87 94 141 174 282 319 517 638 827 957 1034 1363 1551 1654 1914 2017 2481 2726 3102 4034 4089 4962 6051 8178 9097 12102 14993 18194 22187 23983 27291 29986 38869 44374 44979 47966 54582 58493 66561 71949 77738 89958 94799 116607 116986 133122 143898 175479 189598 233214 263813 284397 350958 427559 527626 568794 643423 791439 855118 1042789 1127201 1282677 1286846 1582878 1668059 1930269 2085578 2254402 2565354 2749171 3128367 3336118 3381603 3860538 5004177 5498342 6256734 6763206 8247513 10008354 12399211 16495026 18348649 24798422 30240881 36697298 37197633 48373711 55045947 60481762 74395266 78398773 90722643 96747422 110091894 145121133 156797546 181445286 235196319 290242266 470392638 532110821 862386503 1064221642 1596332463 1724773006 2273564417 2587159509 3192664926 4547128834 5174319018 6820693251 13641386502 25009208587 50018417174 75027625761 150055251522