Search a number
-
+
150087698928 = 2433538577649
BaseRepresentation
bin1000101111000111101…
…1001000100111110000
3112100101212111002012000
42023301323020213300
54424334422331203
6152541020134000
713562212251156
oct2136173104760
9470355432160
10150087698928
1158719658702
1225108097300
13111cb7a6c0b
14739b29d3d6
153d866544a3
hex22f1ec89f0

150087698928 has 160 divisors (see below), whose sum is σ = 439505352000. Its totient is φ = 49021599744.

The previous prime is 150087698911. The next prime is 150087698933. The reversal of 150087698928 is 829896780051.

It is a happy number.

150087698928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 19618048 + ... + 19625696.

It is an arithmetic number, because the mean of its divisors is an integer number (2746908450).

Almost surely, 2150087698928 is an apocalyptic number.

150087698928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150087698928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219752676000).

150087698928 is an abundant number, since it is smaller than the sum of its proper divisors (289417653072).

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

150087698928 is a wasteful number, since it uses less digits than its factorization.

150087698928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 150087698928 in words is "one hundred fifty billion, eighty-seven million, six hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 857 954 1272 1431 1714 1908 2544 2571 2862 3428 3816 5142 5724 6856 7632 7649 7713 10284 11448 13712 15298 15426 20568 22896 22947 23139 30596 30852 41136 45421 45894 46278 61192 61704 68841 90842 91788 92556 122384 123408 136263 137682 181684 183576 185112 206523 272526 275364 363368 367152 370224 405397 408789 413046 545052 550728 726736 810794 817578 826092 1090104 1101456 1216191 1226367 1621588 1635156 1652184 2180208 2432382 2452734 3243176 3270312 3304368 3648573 4864764 4905468 6486352 6540624 6555193 7297146 9729528 9810936 10945719 13110386 14594292 19459056 19621872 19665579 21891438 26220772 29188584 39331158 43782876 52441544 58377168 58996737 78662316 87565752 104883088 117993474 157324632 175131504 176990211 235986948 314649264 347425229 353980422 471973896 694850458 707960844 943947792 1042275687 1389700916 1415921688 2084551374 2779401832 2831843376 3126827061 4169102748 5558803664 6253654122 8338205496 9380481183 12507308244 16676410992 18760962366 25014616488 37521924732 50029232976 75043849464 150087698928