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5790217953 = 313445733311
BaseRepresentation
bin1010110010001111…
…11011011011100001
3112221112022112210210
411121013323123201
543324243433303
62354320244333
7263326016622
oct53107733341
915845275723
105790217953
1125014774a3
1211571706a9
13713798190
143cd001a49
1523d4ea203
hex1591fb6e1

5790217953 has 16 divisors (see below), whose sum is σ = 8316274176. Its totient is φ = 3562304640.

The previous prime is 5790217943. The next prime is 5790217997. The reversal of 5790217953 is 3597120975.

It is not a de Polignac number, because 5790217953 - 26 = 5790217889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5790217943) 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 15 ways as a sum of consecutive naturals, for example, 157168 + ... + 190478.

It is an arithmetic number, because the mean of its divisors is an integer number (519767136).

Almost surely, 25790217953 is an apocalyptic number.

It is an amenable number.

5790217953 is a deficient number, since it is larger than the sum of its proper divisors (2526056223).

5790217953 is a wasteful number, since it uses less digits than its factorization.

5790217953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37784.

The product of its (nonzero) digits is 595350, while the sum is 48.

The square root of 5790217953 is about 76093.4816722168. The cubic root of 5790217953 is about 1795.6911290750.

It can be divided in two parts, 57902 and 17953, that added together give a triangular number (75855 = T389).

The spelling of 5790217953 in words is "five billion, seven hundred ninety million, two hundred seventeen thousand, nine hundred fifty-three".

Divisors: 1 3 13 39 4457 13371 33311 57941 99933 173823 433043 1299129 148467127 445401381 1930072651 5790217953