Search a number
-
+
525374603610064 = 241316042315744871
BaseRepresentation
bin111011101110100110100111…
…0100111110100011111010000
32112220012022200102221100220121
41313131031032213310133100
51022330214142011010224
65101213432211520024
7215443030305053545
oct16735151647643720
92486168612840817
10525374603610064
1114244513328304a
124ab1114b8b9014
131971c7c6997440
1493a43a3374bcc
1540b12ebeccbe4
hex1ddd34e9f47d0

525374603610064 has 40 divisors (see below), whose sum is σ = 1096221220045952. Its totient is φ = 242479059373440.

The previous prime is 525374603610019. The next prime is 525374603610079. The reversal of 525374603610064 is 460016306473525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 525374603609993 and 525374603610020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25495549 + ... + 41240419.

Almost surely, 2525374603610064 is an apocalyptic number.

It is an amenable number.

525374603610064 is an abundant number, since it is smaller than the sum of its proper divisors (570846616435888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

525374603610064 is a wasteful number, since it uses less digits than its factorization.

525374603610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15905315 (or 15905309 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 525374603610064 in words is "five hundred twenty-five trillion, three hundred seventy-four billion, six hundred three million, six hundred ten thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 160423 320846 641692 1283384 2085499 2566768 4170998 8341996 15744871 16683992 31489742 33367984 62979484 125958968 204683323 251917936 409366646 818733292 1637466584 3274933168 2525839440433 5051678880866 10103357761732 20206715523464 32835912725629 40413431046928 65671825451258 131343650902516 262687301805032 525374603610064