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150165152288 = 2561211232
BaseRepresentation
bin1000101111011010001…
…0100110001000100000
3112100121021020010012222
42023312202212020200
54430014234333123
6152552424210212
713564142506544
oct2136642461040
9470537203188
10150165152288
115875934a548
122512a009968
13112118550c8
1473a76a1a24
153d8d3536c8
hex22f68a6220

150165152288 has 54 divisors (see below), whose sum is σ = 300831495237. Its totient is φ = 73785951360.

The previous prime is 150165152281. The next prime is 150165152351. The reversal of 150165152288 is 882251561051.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

150165152288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101717620624 + 48447531664 = 318932^2 + 220108^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=274012.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150165152281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133717295 + ... + 133718417.

Almost surely, 2150165152288 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 150165152288

150165152288 is an abundant number, since it is smaller than the sum of its proper divisors (150666342949).

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

150165152288 is an frugal number, since it uses more digits than its factorization.

150165152288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 44.

The spelling of 150165152288 in words is "one hundred fifty billion, one hundred sixty-five million, one hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1123 1952 2246 3721 4492 7442 8984 14884 17968 29768 35936 59536 68503 119072 137006 274012 548024 1096048 1261129 2192096 2522258 4178683 5044516 8357366 10089032 16714732 20178064 33429464 40356128 66858928 76928869 133717856 153857738 307715476 615430952 1230861904 2461723808 4692661009 9385322018 18770644036 37541288072 75082576144 150165152288