Search a number
-
+
20440539583245 = 325232293032
BaseRepresentation
bin1001010010111001011110…
…00110011101001100001101
32200101002121100102002012200
410221130233012131030031
510134344211113130440
6111250130530152113
74206531424501455
oct451345706351415
980332540362180
1020440539583245
116570869790341
12236161b422639
13b536c4708652
14509482528d65
15256a8a7ecc30
hex12972f19d30d

20440539583245 has 54 divisors (see below), whose sum is σ = 37038955004142. Its totient is φ = 10427281728864.

The previous prime is 20440539583237. The next prime is 20440539583267. The reversal of 20440539583245 is 54238593504402.

20440539583245 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 0 + 5 + 39 + 583 + 24 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16352431666596 + 4088107916649 = 4043814^2 + 2021907^2 .

It is not a de Polignac number, because 20440539583245 - 23 = 20440539583237 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20440539583191 and 20440539583200.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 697543264 + ... + 697572566.

Almost surely, 220440539583245 is an apocalyptic number.

It is an amenable number.

20440539583245 is a deficient number, since it is larger than the sum of its proper divisors (16598415420897).

20440539583245 is an frugal number, since it uses more digits than its factorization.

20440539583245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58663 (or 29334 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 20440539583245 in words is "twenty trillion, four hundred forty billion, five hundred thirty-nine million, five hundred eighty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 529 1035 1587 2645 4761 7935 23805 29303 87909 146515 263727 439545 673969 1318635 2021907 3369845 6065721 10109535 15501287 30328605 46503861 77506435 139511583 232519305 697557915 858665809 2575997427 4293329045 7727992281 12879987135 19749313607 38639961405 59247940821 98746568035 177743822463 296239704105 454234212961 888719112315 1362702638883 2271171064805 4088107916649 6813513194415 20440539583245