Search a number
-
+
151205330364 = 2231117929321841
BaseRepresentation
bin1000110011010010001…
…0100011110110111100
3112110021202111122021220
42030310202203312330
54434132031032424
6153243542553340
713632003046644
oct2146442436674
9473252448256
10151205330364
1159142515750
122537a438850
13113491bbbaa
1474658ab524
153dee81e579
hex23348a3dbc

151205330364 has 96 divisors (see below), whose sum is σ = 388375223040. Its totient is φ = 45406233600.

The previous prime is 151205330357. The next prime is 151205330401. The reversal of 151205330364 is 463033502151.

151205330364 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 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, 6912084 + ... + 6933924.

It is an arithmetic number, because the mean of its divisors is an integer number (4045575240).

Almost surely, 2151205330364 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 151205330364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194187611520).

151205330364 is an abundant number, since it is smaller than the sum of its proper divisors (237169892676).

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

151205330364 is a wasteful number, since it uses less digits than its factorization.

151205330364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22331 (or 22329 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 151205330364 in words is "one hundred fifty-one billion, two hundred five million, three hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 293 358 537 586 716 879 1074 1172 1758 1969 2148 3223 3516 3938 5907 6446 7876 9669 11814 12892 19338 21841 23628 38676 43682 52447 65523 87364 104894 131046 157341 209788 240251 262092 314682 480502 576917 629364 720753 961004 1153834 1441506 1730751 2307668 2883012 3461502 3909539 6399413 6923004 7819078 11728617 12798826 15638156 19198239 23457234 25597652 38396478 43004929 46914468 70393543 76792956 86009858 129014787 140787086 172019716 211180629 258029574 281574172 422361258 516059148 844722516 1145494927 2290989854 3436484781 4581979708 6872969562 12600444197 13745939124 25200888394 37801332591 50401776788 75602665182 151205330364