Search a number
-
+
458083258755473 = 13234214691775757
BaseRepresentation
bin110100000100111111101000…
…1111010100110100110010001
32020001221022221220211210021002
41220021333101322212212101
5440020214003220133343
64302132313252311345
7165326265121206311
oct15011772172464621
92201838856753232
10458083258755473
11122a610233a823a
1243463730612555
131687b0b1b6ab60
1481194c2d8b441
1537e5be43298b8
hex1a09fd1ea6991

458083258755473 has 32 divisors (see below), whose sum is σ = 516102537952512. Its totient is φ = 403414220563200.

The previous prime is 458083258755469. The next prime is 458083258755533. The reversal of 458083258755473 is 374557852380854.

It is a cyclic number.

It is not a de Polignac number, because 458083258755473 - 22 = 458083258755469 is a prime.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 458083258755473.

It is not an unprimeable number, because it can be changed into a prime (458083258755403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590110511 + ... + 590886267.

It is an arithmetic number, because the mean of its divisors is an integer number (16128204311016).

Almost surely, 2458083258755473 is an apocalyptic number.

It is an amenable number.

458083258755473 is a deficient number, since it is larger than the sum of its proper divisors (58019279197039).

458083258755473 is a wasteful number, since it uses less digits than its factorization.

458083258755473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780905.

The product of its (nonzero) digits is 4515840000, while the sum is 74.

The spelling of 458083258755473 in words is "four hundred fifty-eight trillion, eighty-three billion, two hundred fifty-eight million, seven hundred fifty-five thousand, four hundred seventy-three".

Divisors: 1 13 23 299 421 4691 5473 9683 60983 107893 125879 775757 1402609 1974911 10084841 17842411 25673843 45422953 231951343 326593697 590498389 3639076087 4245718061 7511655031 47307989131 83698750001 97651515403 1088083750013 1532051032627 19916663424151 35237173750421 458083258755473