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150015150018 = 23237418366191
BaseRepresentation
bin1000101110110110011…
…0011000011111000010
3112100012210222012210100
42023231212120133002
54424212334300033
6152525505143230
713560341510256
oct2135546303702
9470183865710
10150015150018
1158691706628
12250a792ab16
13111b9755176
1473917b6266
153d800c3513
hex22ed9987c2

150015150018 has 96 divisors (see below), whose sum is σ = 346084607232. Its totient is φ = 46894291200.

The previous prime is 150015149959. The next prime is 150015150023. The reversal of 150015150018 is 810051510051.

150015150018 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 151 + 500 + 1 + 8 = 666.

150015150018 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150015149973 and 150015150000.

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 47 ways as a sum of consecutive naturals, for example, 2233303 + ... + 2299493.

It is an arithmetic number, because the mean of its divisors is an integer number (3605047992).

Almost surely, 2150015150018 is an apocalyptic number.

150015150018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150015150018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173042303616).

150015150018 is an abundant number, since it is smaller than the sum of its proper divisors (196069457214).

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

150015150018 is a wasteful number, since it uses less digits than its factorization.

150015150018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66360 (or 66357 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 150015150018 its reverse (810051510051), we get a palindrome (960066660069).

The spelling of 150015150018 in words is "one hundred fifty billion, fifteen million, one hundred fifty thousand, eighteen".

Divisors: 1 2 3 6 9 18 37 41 74 82 83 111 123 166 222 246 249 333 369 498 666 738 747 1494 1517 3034 3071 3403 4551 6142 6806 9102 9213 10209 13653 18426 20418 27306 27639 30627 55278 61254 66191 125911 132382 198573 251822 377733 397146 595719 755466 1133199 1191438 2266398 2449067 2713831 4898134 5427662 5493853 7347201 8141493 10987706 14694402 16282986 16481559 22041603 24424479 32963118 44083206 48848958 49444677 98889354 100411747 200823494 203272561 225247973 301235241 406545122 450495946 602470482 609817683 675743919 903705723 1219635366 1351487838 1807411446 1829453049 2027231757 3658906098 4054463514 8334175001 16668350002 25002525003 50005050006 75007575009 150015150018