Search a number
-
+
6401504510442 = 23478007506563
BaseRepresentation
bin101110100100111011101…
…1001110000000111101010
3211122222101212002222020000
41131021313121300013222
51314340240123313232
621340451030043430
71230331151354046
oct135116731600752
924588355088200
106401504510442
112048954455808
128747a2aa9576
133758755ac3b2
14181b97b0b026
15b17b79bc27c
hex5d2776701ea

6401504510442 has 40 divisors (see below), whose sum is σ = 14344324157856. Its totient is φ = 2133803270088.

The previous prime is 6401504510371. The next prime is 6401504510509. The reversal of 6401504510442 is 2440154051046.

6401504510442 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 504 + 5 + 104 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6401504510397 and 6401504510406.

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 19 ways as a sum of consecutive naturals, for example, 12383853 + ... + 12890415.

Almost surely, 26401504510442 is an apocalyptic number.

6401504510442 is an abundant number, since it is smaller than the sum of its proper divisors (7942819647414).

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

6401504510442 is a wasteful number, since it uses less digits than its factorization.

6401504510442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584584 (or 584575 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 6401504510442 its reverse (2440154051046), we get a palindrome (8841658561488).

The spelling of 6401504510442 in words is "six trillion, four hundred one billion, five hundred four million, five hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 78007 156014 234021 468042 506563 702063 1013126 1404126 1519689 2106189 3039378 4212378 4559067 6318567 9118134 12637134 13677201 27354402 41031603 82063206 39515459941 79030919882 118546379823 237092759646 355639139469 711278278938 1066917418407 2133834836814 3200752255221 6401504510442