Search a number
-
+
150016501656 = 23347290911369
BaseRepresentation
bin1000101110110110101…
…1100010011110011000
3112100012220111212220000
42023231223202132120
54424213211023111
6152525554133000
713560356140020
oct2135553423630
9470186455800
10150016501656
115869244a08a
12250a8281160
13111b9b09458
147391a48a80
153d8028dc56
hex22edae2798

150016501656 has 160 divisors (see below), whose sum is σ = 480418884000. Its totient is φ = 42843354624.

The previous prime is 150016501651. The next prime is 150016501703. The reversal of 150016501656 is 656105610051.

150016501656 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150016501656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150016501651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13189540 + ... + 13200908.

It is an arithmetic number, because the mean of its divisors is an integer number (3002618025).

Almost surely, 2150016501656 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 150016501656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240209442000).

150016501656 is an abundant number, since it is smaller than the sum of its proper divisors (330402382344).

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

150016501656 is a wasteful number, since it uses less digits than its factorization.

150016501656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14303 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 150016501656 in words is "one hundred fifty billion, sixteen million, five hundred one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2909 4536 5818 8727 11369 11636 17454 20363 22738 23272 26181 34107 34908 40726 45476 52362 61089 68214 69816 78543 79583 81452 90952 102321 104724 122178 136428 157086 159166 162904 183267 204642 209448 235629 238749 244356 272856 306963 314172 318332 366534 409284 471258 477498 488712 549801 613926 628344 636664 716247 733068 818568 920889 942516 954996 1099602 1227852 1432494 1466136 1649403 1841778 1885032 1909992 2148741 2199204 2455704 2864988 3298806 3683556 4297482 4398408 5729976 6446223 6597612 7367112 8594964 12892446 13195224 17189928 25784892 33072421 51569784 66144842 99217263 132289684 198434526 231506947 264579368 297651789 396869052 463013894 595303578 694520841 793738104 892955367 926027788 1190607156 1389041682 1785910734 1852055576 2083562523 2381214312 2678866101 2778083364 3571821468 4167125046 5357732202 5556166728 6250687569 7143642936 8334250092 10715464404 12501375138 16668500184 18752062707 21430928808 25002750276 37504125414 50005500552 75008250828 150016501656