Search a number
-
+
46563405546766 = 234970699436943
BaseRepresentation
bin10101001011001011000110…
…01111110100010100001110
320002212102021210101210010011
422211211203033310110032
522100343323304444031
6243010533323303434
712544044411511003
oct1245454317642416
9202772253353104
1046563405546766
111392247a586739
12528037237ab7a
131cc9baac1ac24
14b6d9763938aa
1555b34aedb6b1
hex2a59633f450e

46563405546766 has 16 divisors (see below), whose sum is σ = 70055153784000. Its totient is φ = 23211706507488.

The previous prime is 46563405546731. The next prime is 46563405546769. The reversal of 46563405546766 is 66764550436564.

46563405546766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×465634055467662 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46563405546769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 215691 + ... + 9652633.

It is an arithmetic number, because the mean of its divisors is an integer number (4378447111500).

Almost surely, 246563405546766 is an apocalyptic number.

46563405546766 is a deficient number, since it is larger than the sum of its proper divisors (23491748237234).

46563405546766 is a wasteful number, since it uses less digits than its factorization.

46563405546766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444363.

The product of its (nonzero) digits is 1306368000, while the sum is 67.

The spelling of 46563405546766 in words is "forty-six trillion, five hundred sixty-three billion, four hundred five million, five hundred forty-six thousand, seven hundred sixty-six".

Divisors: 1 2 349 698 7069 14138 2467081 4934162 9436943 18873886 3293493107 6586986214 66709750067 133419500134 23281702773383 46563405546766