Search a number
-
+
150367320576 = 29321119433631
BaseRepresentation
bin1000110000001010010…
…1110011101000000000
3112101010100122022222100
42030002211303220000
54430423013224301
6153024445310400
713602146064504
oct2140245635000
9471110568870
10150367320576
1158852483580
1225185865400
13112446bb305
1473c648a304
153da0e8a286
hex2302973a00

150367320576 has 480 divisors, whose sum is σ = 510068782080. Its totient is φ = 42152140800.

The previous prime is 150367320559. The next prime is 150367320577. The reversal of 150367320576 is 675023763051.

150367320576 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 6 + 73 + 2 + 0 + 576 = 666.

150367320576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1503673205762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150367320577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41410281 + ... + 41413911.

It is an arithmetic number, because the mean of its divisors is an integer number (1062643296).

Almost surely, 2150367320576 is an apocalyptic number.

150367320576 is a gapful number since it is divisible by the number (16) 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 150367320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255034391040).

150367320576 is an abundant number, since it is smaller than the sum of its proper divisors (359701461504).

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

150367320576 is a wasteful number, since it uses less digits than its factorization.

150367320576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 150367320576 in words is "one hundred fifty billion, three hundred sixty-seven million, three hundred twenty thousand, five hundred seventy-six".