Search a number
-
+
150534833334006 = 231121730744099011
BaseRepresentation
bin100010001110100100011111…
…010001000110011011110110
3201201222222201100202012211210
4202032210133101012123312
5124212330314313142011
61252054425302342250
743464532334114502
oct4216443721063366
9651888640665753
10150534833334006
1143a68511a89100
1214a727ab12a986
1365cc4b2524a14
142925cd3963302
151260b531706a6
hex88e91f4466f6

150534833334006 has 192 divisors, whose sum is σ = 351654258574080. Its totient is φ = 42778984089600.

The previous prime is 150534833333977. The next prime is 150534833334199. The reversal of 150534833334006 is 600433338435051.

150534833334006 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16705670041 + ... + 16705679051.

It is an arithmetic number, because the mean of its divisors is an integer number (1831532596740).

Almost surely, 2150534833334006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150534833334006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175827129287040).

150534833334006 is an abundant number, since it is smaller than the sum of its proper divisors (201119425240074).

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

150534833334006 is a wasteful number, since it uses less digits than its factorization.

150534833334006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771 (or 13760 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 150534833334006 in words is "one hundred fifty trillion, five hundred thirty-four billion, eight hundred thirty-three million, three hundred thirty-four thousand, six".