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156090576889 = 132303912
BaseRepresentation
bin1001000101011110111…
…0010010111111111001
3112220220012221212200101
42101113232102333321
510024133141430024
6155412414435401
714164033004122
oct2212756227771
9486805855611
10156090576889
116021a074775
1226302502b61
131194733c900
1477aa61b049
1540d8659c44
hex2457b92ff9

156090576889 has 9 divisors (see below), whose sum is σ = 169026718959. Its totient is φ = 144078868440.

The previous prime is 156090576877. The next prime is 156090576911. The reversal of 156090576889 is 988675090651.

The square root of 156090576889 is 395083.

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

It can be written as a sum of positive squares in only one way, i.e., 23090322025 + 133000254864 = 151955^2 + 364692^2 .

It is not a de Polignac number, because 156090576889 - 25 = 156090576857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 156090576889.

It is not an unprimeable number, because it can be changed into a prime (156090576809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5120884 + ... + 5151274.

It is an arithmetic number, because the mean of its divisors is an integer number (18780746551).

Almost surely, 2156090576889 is an apocalyptic number.

156090576889 is the 395083-rd square number.

156090576889 is the 197542-nd centered octagonal number.

It is an amenable number.

156090576889 is a deficient number, since it is larger than the sum of its proper divisors (12936142070).

156090576889 is an frugal number, since it uses more digits than its factorization.

156090576889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60808 (or 30404 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 64.

Multiplying 156090576889 by its sum of digits (64), we get a square (9989796920896 = 31606642).

The spelling of 156090576889 in words is "one hundred fifty-six billion, ninety million, five hundred seventy-six thousand, eight hundred eighty-nine".

Divisors: 1 13 169 30391 395083 5136079 923612881 12006967453 156090576889