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4432915491601 = 21054492
BaseRepresentation
bin100000010000001111001…
…0110100110101100010001
3120200210010111120021220111
41000200132112212230101
51040112102331212401
613232241523241321
7635160530654362
oct100403626465421
916623114507814
104432915491601
111459a97257a93
125b7166519241
13262039834c0c
141147a8c35b69
157a49c42be51
hex4081e5a6b11

4432915491601 has 3 divisors (see below), whose sum is σ = 4432917597051. Its totient is φ = 4432913386152.

The previous prime is 4432915491553. The next prime is 4432915491619. The reversal of 4432915491601 is 1061945192344.

The square root of 4432915491601 is 2105449.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 4287388501201 + 145526990400 = 2070601^2 + 381480^2 .

It is not a de Polignac number, because 4432915491601 - 217 = 4432915360529 is a prime.

It is a super-2 number, since 2×44329154916012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4432915491001) 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 2 ways as a sum of consecutive naturals, for example, 1052725 + ... + 3158173.

It is an arithmetic number, because the mean of its divisors is an integer number (1477639199017).

Almost surely, 24432915491601 is an apocalyptic number.

4432915491601 is the 2105449-th square number.

4432915491601 is the 1052725-th centered octagonal number.

It is an amenable number.

4432915491601 is a deficient number, since it is larger than the sum of its proper divisors (2105450).

4432915491601 is an frugal number, since it uses more digits than its factorization.

4432915491601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210898 (or 2105449 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 4432915491601 by its sum of digits (49), we get a square (217212859088449 = 147381432).

The spelling of 4432915491601 in words is "four trillion, four hundred thirty-two billion, nine hundred fifteen million, four hundred ninety-one thousand, six hundred one".

Divisors: 1 2105449 4432915491601