Search a number
-
+
426866955248160 = 253257269157427183
BaseRepresentation
bin110000100001110111011010…
…1001110111110001000100000
32001222102002020001111221020100
41201003232311032332020200
5421422242011020420120
64111511545543542400
7155625056041335540
oct14103566516761040
92058362201457210
10426866955248160
11114016293925809
123ba6181375aa00
13154254c553267b
14775a6840db320
153453bc83bb490
hex1843bb53be220

426866955248160 has 288 divisors, whose sum is σ = 1670969913500160. Its totient is φ = 97206876923904.

The previous prime is 426866955248137. The next prime is 426866955248161. The reversal of 426866955248160 is 61842559668624.

426866955248160 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 6 + 6 + 9 + 552 + 4 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4268669552481603 (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (426866955248161) 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 47 ways as a sum of consecutive naturals, for example, 76002072 + ... + 81425111.

It is an arithmetic number, because the mean of its divisors is an integer number (5801978866320).

Almost surely, 2426866955248160 is an apocalyptic number.

426866955248160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426866955248160 is an abundant number, since it is smaller than the sum of its proper divisors (1244102958252000).

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

426866955248160 is a wasteful number, since it uses less digits than its factorization.

426866955248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157427480 (or 157427469 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 426866955248160 in words is "four hundred twenty-six trillion, eight hundred sixty-six billion, nine hundred fifty-five million, two hundred forty-eight thousand, one hundred sixty".