Search a number
-
+
150275150137 = 7598919720753
BaseRepresentation
bin1000101111110100011…
…0001101000100111001
3112100212221012120220101
42023331012031010321
54430230414301022
6153011353555401
713566646462150
oct2137506150471
9470787176811
10150275150137
115880544a562
122515aa15b61
131122b5894a8
1473b8136597
153d97d30627
hex22fd18d139

150275150137 has 32 divisors (see below), whose sum is σ = 177521414400. Its totient is φ = 124559812608.

The previous prime is 150275150107. The next prime is 150275150143. The reversal of 150275150137 is 731051572051.

150275150137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 150275150137 - 223 = 150266761529 is a prime.

It is a super-2 number, since 2×1502751501372 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 150275150096 and 150275150105.

It is not an unprimeable number, because it can be changed into a prime (150275150107) by changing a digit.

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, 7230753 + ... + 7251505.

It is an arithmetic number, because the mean of its divisors is an integer number (5547544200).

Almost surely, 2150275150137 is an apocalyptic number.

It is an amenable number.

150275150137 is a deficient number, since it is larger than the sum of its proper divisors (27246264263).

150275150137 is a wasteful number, since it uses less digits than its factorization.

150275150137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21105.

The product of its (nonzero) digits is 36750, while the sum is 37.

The spelling of 150275150137 in words is "one hundred fifty billion, two hundred seventy-five million, one hundred fifty thousand, one hundred thirty-seven".

Divisors: 1 7 59 89 197 413 623 1379 5251 11623 17533 20753 36757 81361 122731 145271 1034447 1224427 1847017 4088341 7241129 8570989 12929119 28618387 108974003 241212119 363862349 762818021 1688484833 2547036443 21467878591 150275150137