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32966575489 = 31258572
BaseRepresentation
bin11110101100111101…
…100000010110000001
310011002111102112220101
4132230331200112001
51020003420403424
623051124042401
72244641160661
oct365475402601
9104074375811
1032966575489
1112a87855111
126480533401
133154b75a03
14184a4301a1
15cce2b9344
hex7acf60581

32966575489 has 9 divisors (see below), whose sum is σ = 34070134851. Its totient is φ = 31897690560.

The previous prime is 32966575391. The next prime is 32966575493. The reversal of 32966575489 is 98457566923.

The square root of 32966575489 is 181567.

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., 31168137025 + 1798438464 = 176545^2 + 42408^2 .

It is a de Polignac number, because none of the positive numbers 2k-32966575489 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 32966575489.

It is not an unprimeable number, because it can be changed into a prime (32966575289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5625649 + ... + 5631505.

It is an arithmetic number, because the mean of its divisors is an integer number (3785570539).

Almost surely, 232966575489 is an apocalyptic number.

32966575489 is the 181567-th square number.

32966575489 is the 90784-th centered octagonal number.

It is an amenable number.

32966575489 is a deficient number, since it is larger than the sum of its proper divisors (1103559362).

32966575489 is an frugal number, since it uses more digits than its factorization.

32966575489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11776 (or 5888 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

Multiplying 32966575489 by its sum of digits (64), we get a square (2109860831296 = 14525362).

The spelling of 32966575489 in words is "thirty-two billion, nine hundred sixty-six million, five hundred seventy-five thousand, four hundred eighty-nine".

Divisors: 1 31 961 5857 181567 5628577 34304449 1063437919 32966575489