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150934581009 = 36143892
BaseRepresentation
bin1000110010010001100…
…1101110111100010001
3112102120220001011000000
42030210121232330101
54433103223043014
6153201031520213
713622204525142
oct2144431567421
9472526034000
10150934581009
11590136aa753
1225303829069
1311305092c84
14743b94dac9
153dd5b8c509
hex232466ef11

150934581009 has 21 divisors (see below), whose sum is σ = 226314078123. Its totient is φ = 100616060952.

The previous prime is 150934580959. The next prime is 150934581029. The reversal of 150934581009 is 900185439051.

The square root of 150934581009 is 388503.

It is a perfect power (a square), and thus also a powerful number.

150934581009 is a `hidden beast` number, since 1 + 5 + 0 + 93 + 458 + 100 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42785681409 + 108148899600 = 206847^2 + 328860^2 .

It is not a de Polignac number, because 150934581009 - 233 = 142344646417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150934581029) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10482387 + ... + 10496775.

It is an arithmetic number, because the mean of its divisors is an integer number (10776860863).

Almost surely, 2150934581009 is an apocalyptic number.

150934581009 is the 388503-rd square number.

150934581009 is the 194252-nd centered octagonal number.

It is an amenable number.

150934581009 is a deficient number, since it is larger than the sum of its proper divisors (75379497114).

150934581009 is an frugal number, since it uses more digits than its factorization.

150934581009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28796 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 150934581009 in words is "one hundred fifty billion, nine hundred thirty-four million, five hundred eighty-one thousand, nine".

Divisors: 1 3 9 27 81 243 729 14389 43167 129501 388503 1165509 3496527 10489581 207043321 621129963 1863389889 5590169667 16770509001 50311527003 150934581009